(x-8)(x+2)=11

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Solution for (x-8)(x+2)=11 equation: 


Simplifying
(x + -8)(x + 2) = 11

Reorder the terms:
(-8 + x)(x + 2) = 11

Reorder the terms:
(-8 + x)(2 + x) = 11

Multiply (-8 + x) * (2 + x)
(-8(2 + x) + x(2 + x)) = 11
((2 * -8 + x * -8) + x(2 + x)) = 11
((-16 + -8x) + x(2 + x)) = 11
(-16 + -8x + (2 * x + x * x)) = 11
(-16 + -8x + (2x + x2)) = 11

Combine like terms: -8x + 2x = -6x
(-16 + -6x + x2) = 11

Solving
-16 + -6x + x2 = 11

Solving for variable 'x'.

Reorder the terms:
-16 + -11 + -6x + x2 = 11 + -11

Combine like terms: -16 + -11 = -27
-27 + -6x + x2 = 11 + -11

Combine like terms: 11 + -11 = 0
-27 + -6x + x2 = 0

Factor a trinomial.
(-3 + -1x)(9 + -1x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-3, 9}

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