(x+8)(x-5)=168

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Solution for (x+8)(x-5)=168 equation: 


Simplifying
(x + 8)(x + -5) = 168

Reorder the terms:
(8 + x)(x + -5) = 168

Reorder the terms:
(8 + x)(-5 + x) = 168

Multiply (8 + x) * (-5 + x)
(8(-5 + x) + x(-5 + x)) = 168
((-5 * 8 + x * 8) + x(-5 + x)) = 168
((-40 + 8x) + x(-5 + x)) = 168
(-40 + 8x + (-5 * x + x * x)) = 168
(-40 + 8x + (-5x + x2)) = 168

Combine like terms: 8x + -5x = 3x
(-40 + 3x + x2) = 168

Solving
-40 + 3x + x2 = 168

Solving for variable 'x'.

Reorder the terms:
-40 + -168 + 3x + x2 = 168 + -168

Combine like terms: -40 + -168 = -208
-208 + 3x + x2 = 168 + -168

Combine like terms: 168 + -168 = 0
-208 + 3x + x2 = 0

Factor a trinomial.
(-16 + -1x)(13 + -1x) = 0


Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

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

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

Divide each side by '-1'.
x = -16

Simplifying
x = -16

Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-16, 13}

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