(x+12)(x-15)=0

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Solution for (x+12)(x-15)=0 equation: 


Simplifying
(x + 12)(x + -15) = 0

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

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

Multiply (12 + x) * (-15 + x)
(12(-15 + x) + x(-15 + x)) = 0
((-15 * 12 + x * 12) + x(-15 + x)) = 0
((-180 + 12x) + x(-15 + x)) = 0
(-180 + 12x + (-15 * x + x * x)) = 0
(-180 + 12x + (-15x + x2)) = 0

Combine like terms: 12x + -15x = -3x
(-180 + -3x + x2) = 0

Solving
-180 + -3x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-12 + -1x)(15 + -1x) = 0


Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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 = {-12, 15}

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