Dustin Y. answered • 03/01/16

Tutor

New to Wyzant
I would love to help

Greetings!

Lets first multiply the x by whats in the parenthesis to see what we get and if it makes the problem look easier to solve! We have

4x

^{2}-19x=5Now it looks like if we subtract both sides by 5 we'll get a quadratic in the form of ax

^{2}+bx+c=0so lets do that subtraction and figure out what our a, b, and c are.

4x

^{2}-19x-5=0so we know that a=4, b=-19, and c=-5

Now lets apply the quadratic formula to see what answers we get. Were looking for

x=(-b ± √(b

^{2}- 4ac)) / 2aPlugging in the values that we know x ends up being

**5 and - 1/4**Note: Be careful when using the quadratic formula. It can be easy to make an algebraic mistake. Try simplifying it a bit before you put the numbers into a calculator to avoid a mistake (If you're allowed one).