4x(x-6)(11-x)(3x+15)=0

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Solution for 4x(x-6)(11-x)(3x+15)=0 equation: 


Simplifying
4x(x + -6)(11 + -1x)(3x + 15) = 0

Reorder the terms:
4x(-6 + x)(11 + -1x)(3x + 15) = 0

Reorder the terms:
4x(-6 + x)(11 + -1x)(15 + 3x) = 0

Multiply (-6 + x) * (11 + -1x)
4x(-6(11 + -1x) + x(11 + -1x))(15 + 3x) = 0
4x((11 * -6 + -1x * -6) + x(11 + -1x))(15 + 3x) = 0
4x((-66 + 6x) + x(11 + -1x))(15 + 3x) = 0
4x(-66 + 6x + (11 * x + -1x * x))(15 + 3x) = 0
4x(-66 + 6x + (11x + -1x2))(15 + 3x) = 0

Combine like terms: 6x + 11x = 17x
4x(-66 + 17x + -1x2)(15 + 3x) = 0

Multiply (-66 + 17x + -1x2) * (15 + 3x)
4x(-66(15 + 3x) + 17x * (15 + 3x) + -1x2 * (15 + 3x)) = 0
4x((15 * -66 + 3x * -66) + 17x * (15 + 3x) + -1x2 * (15 + 3x)) = 0
4x((-990 + -198x) + 17x * (15 + 3x) + -1x2 * (15 + 3x)) = 0
4x(-990 + -198x + (15 * 17x + 3x * 17x) + -1x2 * (15 + 3x)) = 0
4x(-990 + -198x + (255x + 51x2) + -1x2 * (15 + 3x)) = 0
4x(-990 + -198x + 255x + 51x2 + (15 * -1x2 + 3x * -1x2)) = 0
4x(-990 + -198x + 255x + 51x2 + (-15x2 + -3x3)) = 0

Combine like terms: -198x + 255x = 57x
4x(-990 + 57x + 51x2 + -15x2 + -3x3) = 0

Combine like terms: 51x2 + -15x2 = 36x2
4x(-990 + 57x + 36x2 + -3x3) = 0
(-990 * 4x + 57x * 4x + 36x2 * 4x + -3x3 * 4x) = 0
(-3960x + 228x2 + 144x3 + -12x4) = 0

Solving
-3960x + 228x2 + 144x3 + -12x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12x'.
12x(-330 + 19x + 12x2 + -1x3) = 0

Ignore the factor 12.

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 '(-330 + 19x + 12x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-330 + 19x + 12x2 + -1x3 = 0

Solving
-330 + 19x + 12x2 + -1x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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