
Ali M. answered 12/05/12
Friendly and High Quality Tutoring
2x^2-3x-9=0 can be factored as 1/2*(2x-6)*(2x+3)=0 so we can simplify and get (x-3)*(2x+3)=0
and so x= 3 or x= -3/2
Haily M.
asked 12/04/12you must get what is equal to zero
Ali M. answered 12/05/12
Friendly and High Quality Tutoring
2x^2-3x-9=0 can be factored as 1/2*(2x-6)*(2x+3)=0 so we can simplify and get (x-3)*(2x+3)=0
and so x= 3 or x= -3/2
Tamara J. answered 12/04/12
Math Tutoring - Algebra and Calculus (all levels)
The goal here is to solve for the unknown variable, x. That is, you want to find the value(s) of x the equation will equal to zero.
To solve for x, you have to factor the polynomial function to generate two binomials whose produce equals zero. Then, by the zero product property, we can set each binomial equal to zero and solve for x.
2x2 - 3x - 9 = 0
(2x + 3)(x - 3) = 0
Set each binomial equal to zero:
2x + 3 = 0 and x - 3 = 0
- 3 - 3 + 3 + 3
______________ _______________
2x = -3 x = 3
(2x)/2 = (-3)/2
x = -3/2
Thus, 2x2 - 3x - 9 = 0 when x = -3/2 and when x = 3
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