(x+12)(x-7)=0

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Solution for (x+12)(x-7)=0 equation: 


Simplifying
(x + 12)(x + -7) = 0

Reorder the terms:
(12 + x)(x + -7) = 0

Reorder the terms:
(12 + x)(-7 + x) = 0

Multiply (12 + x) * (-7 + x)
(12(-7 + x) + x(-7 + x)) = 0
((-7 * 12 + x * 12) + x(-7 + x)) = 0
((-84 + 12x) + x(-7 + x)) = 0
(-84 + 12x + (-7 * x + x * x)) = 0
(-84 + 12x + (-7x + x2)) = 0

Combine like terms: 12x + -7x = 5x
(-84 + 5x + x2) = 0

Solving
-84 + 5x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-12 + -1x)(7 + -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 '(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 = {-12, 7}

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