x(x-10)(x+11)=0

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Solution for x(x-10)(x+11)=0 equation: 


Simplifying
x(x + -10)(x + 11) = 0

Reorder the terms:
x(-10 + x)(x + 11) = 0

Reorder the terms:
x(-10 + x)(11 + x) = 0

Multiply (-10 + x) * (11 + x)
x(-10(11 + x) + x(11 + x)) = 0
x((11 * -10 + x * -10) + x(11 + x)) = 0
x((-110 + -10x) + x(11 + x)) = 0
x(-110 + -10x + (11 * x + x * x)) = 0
x(-110 + -10x + (11x + x2)) = 0

Combine like terms: -10x + 11x = 1x
x(-110 + 1x + x2) = 0
(-110 * x + 1x * x + x2 * x) = 0
(-110x + 1x2 + x3) = 0

Solving
-110x + 1x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-110 + x + x2) = 0

Factor a trinomial.
x((-11 + -1x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {0, -11, 10}

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