X^2+11X-8=8X+2

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Solution for X^2+11X-8=8X+2 equation: 


Simplifying
X2 + 11X + -8 = 8X + 2

Reorder the terms:
-8 + 11X + X2 = 8X + 2

Reorder the terms:
-8 + 11X + X2 = 2 + 8X

Solving
-8 + 11X + X2 = 2 + 8X

Solving for variable 'X'.

Reorder the terms:
-8 + -2 + 11X + -8X + X2 = 2 + 8X + -2 + -8X

Combine like terms: -8 + -2 = -10
-10 + 11X + -8X + X2 = 2 + 8X + -2 + -8X

Combine like terms: 11X + -8X = 3X
-10 + 3X + X2 = 2 + 8X + -2 + -8X

Reorder the terms:
-10 + 3X + X2 = 2 + -2 + 8X + -8X

Combine like terms: 2 + -2 = 0
-10 + 3X + X2 = 0 + 8X + -8X
-10 + 3X + X2 = 8X + -8X

Combine like terms: 8X + -8X = 0
-10 + 3X + X2 = 0

Factor a trinomial.
(-5 + -1X)(2 + -1X) = 0


Subproblem 1
Set the factor '(-5 + -1X)' equal to zero and attempt to solve:

Simplifying
-5 + -1X = 0

Solving
-5 + -1X = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1X = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1X = 0 + 5
-1X = 0 + 5

Combine like terms: 0 + 5 = 5
-1X = 5

Divide each side by '-1'.
X = -5

Simplifying
X = -5

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 = {-5, 2}

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