x^2+2x=5x+126+x+x

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Solution for x^2+2x=5x+126+x+x equation: 


Simplifying
x2 + 2x = 5x + 126 + x + x

Reorder the terms:
2x + x2 = 5x + 126 + x + x

Reorder the terms:
2x + x2 = 126 + 5x + x + x

Combine like terms: 5x + x = 6x
2x + x2 = 126 + 6x + x

Combine like terms: 6x + x = 7x
2x + x2 = 126 + 7x

Solving
2x + x2 = 126 + 7x

Solving for variable 'x'.

Reorder the terms:
-126 + 2x + -7x + x2 = 126 + 7x + -126 + -7x

Combine like terms: 2x + -7x = -5x
-126 + -5x + x2 = 126 + 7x + -126 + -7x

Reorder the terms:
-126 + -5x + x2 = 126 + -126 + 7x + -7x

Combine like terms: 126 + -126 = 0
-126 + -5x + x2 = 0 + 7x + -7x
-126 + -5x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-126 + -5x + x2 = 0

Factor a trinomial.
(-9 + -1x)(14 + -1x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-9, 14}

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