x^2-3x-20=6x+2

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Solution for x^2-3x-20=6x+2 equation: 


Simplifying
x2 + -3x + -20 = 6x + 2

Reorder the terms:
-20 + -3x + x2 = 6x + 2

Reorder the terms:
-20 + -3x + x2 = 2 + 6x

Solving
-20 + -3x + x2 = 2 + 6x

Solving for variable 'x'.

Reorder the terms:
-20 + -2 + -3x + -6x + x2 = 2 + 6x + -2 + -6x

Combine like terms: -20 + -2 = -22
-22 + -3x + -6x + x2 = 2 + 6x + -2 + -6x

Combine like terms: -3x + -6x = -9x
-22 + -9x + x2 = 2 + 6x + -2 + -6x

Reorder the terms:
-22 + -9x + x2 = 2 + -2 + 6x + -6x

Combine like terms: 2 + -2 = 0
-22 + -9x + x2 = 0 + 6x + -6x
-22 + -9x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-22 + -9x + x2 = 0

Factor a trinomial.
(-2 + -1x)(11 + -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 '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-2, 11}

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