x^2+9x-2=8x+10

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Solution for x^2+9x-2=8x+10 equation: 


Simplifying
x2 + 9x + -2 = 8x + 10

Reorder the terms:
-2 + 9x + x2 = 8x + 10

Reorder the terms:
-2 + 9x + x2 = 10 + 8x

Solving
-2 + 9x + x2 = 10 + 8x

Solving for variable 'x'.

Reorder the terms:
-2 + -10 + 9x + -8x + x2 = 10 + 8x + -10 + -8x

Combine like terms: -2 + -10 = -12
-12 + 9x + -8x + x2 = 10 + 8x + -10 + -8x

Combine like terms: 9x + -8x = 1x
-12 + 1x + x2 = 10 + 8x + -10 + -8x

Reorder the terms:
-12 + 1x + x2 = 10 + -10 + 8x + -8x

Combine like terms: 10 + -10 = 0
-12 + 1x + x2 = 0 + 8x + -8x
-12 + 1x + x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + 1x + x2 = 0

Factor a trinomial.
(-4 + -1x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-4, 3}

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