(x-1)(x+12)=10x

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Solution for (x-1)(x+12)=10x equation: 


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

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

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

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

Combine like terms: -1x + 12x = 11x
(-12 + 11x + x2) = 10x

Solving
-12 + 11x + x2 = 10x

Solving for variable 'x'.

Reorder the terms:
-12 + 11x + -10x + x2 = 10x + -10x

Combine like terms: 11x + -10x = 1x
-12 + 1x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-12 + 1x + x2 = 0

Factor a trinomial.
(-4 + -1x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-4, 3}

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