x^2-11x-20=4-x

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Solution for x^2-11x-20=4-x equation: 


Simplifying
x2 + -11x + -20 = 4 + -1x

Reorder the terms:
-20 + -11x + x2 = 4 + -1x

Solving
-20 + -11x + x2 = 4 + -1x

Solving for variable 'x'.

Reorder the terms:
-20 + -4 + -11x + x + x2 = 4 + -1x + -4 + x

Combine like terms: -20 + -4 = -24
-24 + -11x + x + x2 = 4 + -1x + -4 + x

Combine like terms: -11x + x = -10x
-24 + -10x + x2 = 4 + -1x + -4 + x

Reorder the terms:
-24 + -10x + x2 = 4 + -4 + -1x + x

Combine like terms: 4 + -4 = 0
-24 + -10x + x2 = 0 + -1x + x
-24 + -10x + x2 = -1x + x

Combine like terms: -1x + x = 0
-24 + -10x + x2 = 0

Factor a trinomial.
(-2 + -1x)(12 + -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 '(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 = {-2, 12}

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