x(x-12)(x+11)=0

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Solution for x(x-12)(x+11)=0 equation: 


Simplifying
x(x + -12)(x + 11) = 0

Reorder the terms:
x(-12 + x)(x + 11) = 0

Reorder the terms:
x(-12 + x)(11 + x) = 0

Multiply (-12 + x) * (11 + x)
x(-12(11 + x) + x(11 + x)) = 0
x((11 * -12 + x * -12) + x(11 + x)) = 0
x((-132 + -12x) + x(11 + x)) = 0
x(-132 + -12x + (11 * x + x * x)) = 0
x(-132 + -12x + (11x + x2)) = 0

Combine like terms: -12x + 11x = -1x
x(-132 + -1x + x2) = 0
(-132 * x + -1x * x + x2 * x) = 0
(-132x + -1x2 + x3) = 0

Solving
-132x + -1x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-132 + -1x + x2) = 0

Factor a trinomial.
x((-11 + -1x)(12 + -1x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Subproblem 3
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

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

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

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {0, -11, 12}

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