x^2+11x-10=9x-2

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Solution for x^2+11x-10=9x-2 equation: 


Simplifying
x2 + 11x + -10 = 9x + -2

Reorder the terms:
-10 + 11x + x2 = 9x + -2

Reorder the terms:
-10 + 11x + x2 = -2 + 9x

Solving
-10 + 11x + x2 = -2 + 9x

Solving for variable 'x'.

Reorder the terms:
-10 + 2 + 11x + -9x + x2 = -2 + 9x + 2 + -9x

Combine like terms: -10 + 2 = -8
-8 + 11x + -9x + x2 = -2 + 9x + 2 + -9x

Combine like terms: 11x + -9x = 2x
-8 + 2x + x2 = -2 + 9x + 2 + -9x

Reorder the terms:
-8 + 2x + x2 = -2 + 2 + 9x + -9x

Combine like terms: -2 + 2 = 0
-8 + 2x + x2 = 0 + 9x + -9x
-8 + 2x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + 2x + x2 = 0

Factor a trinomial.
(-4 + -1x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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 = {-4, 2}

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