2x^2+2x-56=x^2+x

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Solution for 2x^2+2x-56=x^2+x equation: 


Simplifying
2x2 + 2x + -56 = x2 + x

Reorder the terms:
-56 + 2x + 2x2 = x2 + x

Reorder the terms:
-56 + 2x + 2x2 = x + x2

Solving
-56 + 2x + 2x2 = x + x2

Solving for variable 'x'.

Reorder the terms:
-56 + 2x + -1x + 2x2 + -1x2 = x + x2 + -1x + -1x2

Combine like terms: 2x + -1x = 1x
-56 + 1x + 2x2 + -1x2 = x + x2 + -1x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-56 + 1x + 1x2 = x + x2 + -1x + -1x2

Reorder the terms:
-56 + 1x + 1x2 = x + -1x + x2 + -1x2

Combine like terms: x + -1x = 0
-56 + 1x + 1x2 = 0 + x2 + -1x2
-56 + 1x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-56 + 1x + 1x2 = 0

Factor a trinomial.
(-8 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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 = {-8, 7}

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