(x-12)(x+1)=-40

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Solution for (x-12)(x+1)=-40 equation: 


Simplifying
(x + -12)(x + 1) = -40

Reorder the terms:
(-12 + x)(x + 1) = -40

Reorder the terms:
(-12 + x)(1 + x) = -40

Multiply (-12 + x) * (1 + x)
(-12(1 + x) + x(1 + x)) = -40
((1 * -12 + x * -12) + x(1 + x)) = -40
((-12 + -12x) + x(1 + x)) = -40
(-12 + -12x + (1 * x + x * x)) = -40
(-12 + -12x + (1x + x2)) = -40

Combine like terms: -12x + 1x = -11x
(-12 + -11x + x2) = -40

Solving
-12 + -11x + x2 = -40

Solving for variable 'x'.

Reorder the terms:
-12 + 40 + -11x + x2 = -40 + 40

Combine like terms: -12 + 40 = 28
28 + -11x + x2 = -40 + 40

Combine like terms: -40 + 40 = 0
28 + -11x + x2 = 0

Factor a trinomial.
(4 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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 = {4, 7}

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