(x+10)x-(x+10)12=

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Solution for (x+10)x-(x+10)12= equation: 


Simplifying
(x + 10) * x + -1(x + 10) * 12 = 0

Reorder the terms:
(10 + x) * x + -1(x + 10) * 12 = 0

Reorder the terms for easier multiplication:
x(10 + x) + -1(x + 10) * 12 = 0
(10 * x + x * x) + -1(x + 10) * 12 = 0
(10x + x2) + -1(x + 10) * 12 = 0

Reorder the terms:
10x + x2 + -1(10 + x) * 12 = 0

Reorder the terms for easier multiplication:
10x + x2 + -1 * 12(10 + x) = 0

Multiply -1 * 12
10x + x2 + -12(10 + x) = 0
10x + x2 + (10 * -12 + x * -12) = 0
10x + x2 + (-120 + -12x) = 0

Reorder the terms:
-120 + 10x + -12x + x2 = 0

Combine like terms: 10x + -12x = -2x
-120 + -2x + x2 = 0

Solving
-120 + -2x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -1x)(12 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
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
Solution
x = {-10, 12}

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