x(11x-2)(4x+12)=0

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Solution for x(11x-2)(4x+12)=0 equation: 


Simplifying
x(11x + -2)(4x + 12) = 0

Reorder the terms:
x(-2 + 11x)(4x + 12) = 0

Reorder the terms:
x(-2 + 11x)(12 + 4x) = 0

Multiply (-2 + 11x) * (12 + 4x)
x(-2(12 + 4x) + 11x * (12 + 4x)) = 0
x((12 * -2 + 4x * -2) + 11x * (12 + 4x)) = 0
x((-24 + -8x) + 11x * (12 + 4x)) = 0
x(-24 + -8x + (12 * 11x + 4x * 11x)) = 0
x(-24 + -8x + (132x + 44x2)) = 0

Combine like terms: -8x + 132x = 124x
x(-24 + 124x + 44x2) = 0
(-24 * x + 124x * x + 44x2 * x) = 0
(-24x + 124x2 + 44x3) = 0

Solving
-24x + 124x2 + 44x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-6 + 31x + 11x2) = 0

Factor a trinomial.
4x((-3 + -1x)(2 + -11x)) = 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 '(-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

Subproblem 3
Set the factor '(2 + -11x)' equal to zero and attempt to solve:

Simplifying
2 + -11x = 0

Solving
2 + -11x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -11x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -11x = 0 + -2
-11x = 0 + -2

Combine like terms: 0 + -2 = -2
-11x = -2

Divide each side by '-11'.
x = 0.1818181818

Simplifying
x = 0.1818181818
Solution
x = {0, -3, 0.1818181818}

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