(x-12)(x+7)=-70

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Solution for (x-12)(x+7)=-70 equation: 


Simplifying
(x + -12)(x + 7) = -70

Reorder the terms:
(-12 + x)(x + 7) = -70

Reorder the terms:
(-12 + x)(7 + x) = -70

Multiply (-12 + x) * (7 + x)
(-12(7 + x) + x(7 + x)) = -70
((7 * -12 + x * -12) + x(7 + x)) = -70
((-84 + -12x) + x(7 + x)) = -70
(-84 + -12x + (7 * x + x * x)) = -70
(-84 + -12x + (7x + x2)) = -70

Combine like terms: -12x + 7x = -5x
(-84 + -5x + x2) = -70

Solving
-84 + -5x + x2 = -70

Solving for variable 'x'.

Reorder the terms:
-84 + 70 + -5x + x2 = -70 + 70

Combine like terms: -84 + 70 = -14
-14 + -5x + x2 = -70 + 70

Combine like terms: -70 + 70 = 0
-14 + -5x + x2 = 0

Factor a trinomial.
(-2 + -1x)(7 + -1x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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 = {-2, 7}

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