(x-9)(x+8)=-66

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Solution for (x-9)(x+8)=-66 equation:


Simplifying
(x + -9)(x + 8) = -66

Reorder the terms:
(-9 + x)(x + 8) = -66

Reorder the terms:
(-9 + x)(8 + x) = -66

Multiply (-9 + x) * (8 + x)
(-9(8 + x) + x(8 + x)) = -66
((8 * -9 + x * -9) + x(8 + x)) = -66
((-72 + -9x) + x(8 + x)) = -66
(-72 + -9x + (8 * x + x * x)) = -66
(-72 + -9x + (8x + x2)) = -66

Combine like terms: -9x + 8x = -1x
(-72 + -1x + x2) = -66

Solving
-72 + -1x + x2 = -66

Solving for variable 'x'.

Reorder the terms:
-72 + 66 + -1x + x2 = -66 + 66

Combine like terms: -72 + 66 = -6
-6 + -1x + x2 = -66 + 66

Combine like terms: -66 + 66 = 0
-6 + -1x + x2 = 0

Factor a trinomial.
(-2 + -1x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-2, 3}

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