(x-11)(x+8)=0

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Solution for (x-11)(x+8)=0 equation: 


Simplifying
(x + -11)(x + 8) = 0

Reorder the terms:
(-11 + x)(x + 8) = 0

Reorder the terms:
(-11 + x)(8 + x) = 0

Multiply (-11 + x) * (8 + x)
(-11(8 + x) + x(8 + x)) = 0
((8 * -11 + x * -11) + x(8 + x)) = 0
((-88 + -11x) + x(8 + x)) = 0
(-88 + -11x + (8 * x + x * x)) = 0
(-88 + -11x + (8x + x2)) = 0

Combine like terms: -11x + 8x = -3x
(-88 + -3x + x2) = 0

Solving
-88 + -3x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -1x)(11 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

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

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

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-8, 11}

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