4x(x+1)(x-11)=0

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Solution for 4x(x+1)(x-11)=0 equation: 


Simplifying
4x(x + 1)(x + -11) = 0

Reorder the terms:
4x(1 + x)(x + -11) = 0

Reorder the terms:
4x(1 + x)(-11 + x) = 0

Multiply (1 + x) * (-11 + x)
4x(1(-11 + x) + x(-11 + x)) = 0
4x((-11 * 1 + x * 1) + x(-11 + x)) = 0
4x((-11 + 1x) + x(-11 + x)) = 0
4x(-11 + 1x + (-11 * x + x * x)) = 0
4x(-11 + 1x + (-11x + x2)) = 0

Combine like terms: 1x + -11x = -10x
4x(-11 + -10x + x2) = 0
(-11 * 4x + -10x * 4x + x2 * 4x) = 0
(-44x + -40x2 + 4x3) = 0

Solving
-44x + -40x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-11 + -10x + x2) = 0

Factor a trinomial.
4x((-1 + -1x)(11 + -1x)) = 0

Ignore the factor 4.

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 '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

Subproblem 3
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 = {0, -1, 11}

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