2x^2 +14x =88

The solution or solutions is (are) x=?

Tutors, sign in to answer this question.

Hey Brandon -- cut in half 2x^2 +14x =88 ... x^2 +7x -44 =0 ... try -4x11 to get +7

(x+11)(x-4) =0 ... x= -11 or 4 Regards, sir :)

2x^2+14x=88

subtract 88 from both sides

2x^2+14x-88=0

divide both sides of the equation by 2 to get x^2+7x-44=0

the equation is in the form ax^2+bx+c=0

a and b are both odd, (1 and 7)

therefore c(-44) must be factored into an odd number times an even number, NOT an even times an even

therefore you can't use 2 and 22, you must use 1 and 44 or 4 and 11(disregarding signs for the moment)

does adding 11 and 4 or subtracting 11 and 4 give you 7 ? YES, 11-4=7

-44=(4)(-11) or (-4)(11)

the coefficient of x must be +7, so you can't use 4 and -11(-11+4=-7)

you must use -4 and 11 because 11+(-4)=7

therefore you get 2(x+11)(x-4)=0

x+11=0 and x-4=0

x=-11 and x=4

First, divide both side by 2. You will get:

x^{2}+7x=44 or

x^{2}+7x-44=0;

You may use factoring. Two factors that multiply to get -44 are -11 and 4. Their sum shall be equal to coefficient in front of x, but with opposite sign. Indeed, -11+4=-7, just as it should be.

So the trinomial can be factored as follows:

x^{2}+7x-44=(x+11)(x-4); If (x+11)(x-4)=0 then **x=-11 or x=4**.

2x^2 +14x =88

2x^2 +14x - 88 = 0

2(x^2 +7x - 44) = 0

2(x + 11)(x - 4) = 0

x = -11 or x = 4

Marietta G. | Versatile EducatorVersatile Educator

1. First subtract 88 from both sides so that the equation is equal to 0.

2x^{2} +14x - 88 = 0

2. Find the Highest Common Factor (HCF) that can be divided into each term

in the trinomial.

3. Factor the remaining trinomial.

2 (x^{2} +7x - 44) = 0

a. Find the pairs of factors of the third term -44 = **-4,11** or 4, -11;

-2,22 or 2, -22; -1,44, 1,-44;

b. Choose the pair of factors that when added together give +7,

the coefficient of the middle term. These are **-4** and
**+11**.

4. Finally use the zero product property to solve the equation.

x - 4 = 0 | x + 11 = 0

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Jason S.

Effective Tutoring Towards Real Understanding in Math and Science.

$12.50 per 15 min

View Profile >

Hailee D.

Georgia Tech graduate in Biomedical Engineering

$13.75 per 15 min

View Profile >

Sabatay L.

NYU Grad For Math and Physics Tutoring

$10 per 15 min

View Profile >