x^2+11x-26=2x-4

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Solution for x^2+11x-26=2x-4 equation: 


Simplifying
x2 + 11x + -26 = 2x + -4

Reorder the terms:
-26 + 11x + x2 = 2x + -4

Reorder the terms:
-26 + 11x + x2 = -4 + 2x

Solving
-26 + 11x + x2 = -4 + 2x

Solving for variable 'x'.

Reorder the terms:
-26 + 4 + 11x + -2x + x2 = -4 + 2x + 4 + -2x

Combine like terms: -26 + 4 = -22
-22 + 11x + -2x + x2 = -4 + 2x + 4 + -2x

Combine like terms: 11x + -2x = 9x
-22 + 9x + x2 = -4 + 2x + 4 + -2x

Reorder the terms:
-22 + 9x + x2 = -4 + 4 + 2x + -2x

Combine like terms: -4 + 4 = 0
-22 + 9x + x2 = 0 + 2x + -2x
-22 + 9x + x2 = 2x + -2x

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

Factor a trinomial.
(-11 + -1x)(2 + -1x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-11, 2}

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