(x+9)(x-8)=-16

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Solution for (x+9)(x-8)=-16 equation: 


Simplifying
(x + 9)(x + -8) = -16

Reorder the terms:
(9 + x)(x + -8) = -16

Reorder the terms:
(9 + x)(-8 + x) = -16

Multiply (9 + x) * (-8 + x)
(9(-8 + x) + x(-8 + x)) = -16
((-8 * 9 + x * 9) + x(-8 + x)) = -16
((-72 + 9x) + x(-8 + x)) = -16
(-72 + 9x + (-8 * x + x * x)) = -16
(-72 + 9x + (-8x + x2)) = -16

Combine like terms: 9x + -8x = 1x
(-72 + 1x + x2) = -16

Solving
-72 + 1x + x2 = -16

Solving for variable 'x'.

Reorder the terms:
-72 + 16 + 1x + x2 = -16 + 16

Combine like terms: -72 + 16 = -56
-56 + 1x + x2 = -16 + 16

Combine like terms: -16 + 16 = 0
-56 + 1x + x2 = 0

Factor a trinomial.
(-8 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-8, 7}

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