(x-15)(x+8)=

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Solution for (x-15)(x+8)= equation:


Simplifying
(x + -15)(x + 8) = 0

Reorder the terms:
(-15 + x)(x + 8) = 0

Reorder the terms:
(-15 + x)(8 + x) = 0

Multiply (-15 + x) * (8 + x)
(-15(8 + x) + x(8 + x)) = 0
((8 * -15 + x * -15) + x(8 + x)) = 0
((-120 + -15x) + x(8 + x)) = 0
(-120 + -15x + (8 * x + x * x)) = 0
(-120 + -15x + (8x + x2)) = 0

Combine like terms: -15x + 8x = -7x
(-120 + -7x + x2) = 0

Solving
-120 + -7x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -1x)(15 + -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 '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-8, 15}

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