-8(2x^2-8x-90)=0

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Solution for -8(2x^2-8x-90)=0 equation:


Simplifying
-8(2x2 + -8x + -90) = 0

Reorder the terms:
-8(-90 + -8x + 2x2) = 0
(-90 * -8 + -8x * -8 + 2x2 * -8) = 0
(720 + 64x + -16x2) = 0

Solving
720 + 64x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16'.
16(45 + 4x + -1x2) = 0

Factor a trinomial.
16((9 + -1x)(5 + x)) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Subproblem 2

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {9, -5}

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