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

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


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

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

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

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

Combine like terms: -2x + 8x = 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.
(-9 + -1x)(3 + -1x) = 0


Subproblem 1
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

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 = {-9, 3}

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