5x(x+4)(x-9)(x-2)=0

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Solution for 5x(x+4)(x-9)(x-2)=0 equation:


Simplifying
5x(x + 4)(x + -9)(x + -2) = 0

Reorder the terms:
5x(4 + x)(x + -9)(x + -2) = 0

Reorder the terms:
5x(4 + x)(-9 + x)(x + -2) = 0

Reorder the terms:
5x(4 + x)(-9 + x)(-2 + x) = 0

Multiply (4 + x) * (-9 + x)
5x(4(-9 + x) + x(-9 + x))(-2 + x) = 0
5x((-9 * 4 + x * 4) + x(-9 + x))(-2 + x) = 0
5x((-36 + 4x) + x(-9 + x))(-2 + x) = 0
5x(-36 + 4x + (-9 * x + x * x))(-2 + x) = 0
5x(-36 + 4x + (-9x + x2))(-2 + x) = 0

Combine like terms: 4x + -9x = -5x
5x(-36 + -5x + x2)(-2 + x) = 0

Multiply (-36 + -5x + x2) * (-2 + x)
5x(-36(-2 + x) + -5x * (-2 + x) + x2(-2 + x)) = 0
5x((-2 * -36 + x * -36) + -5x * (-2 + x) + x2(-2 + x)) = 0
5x((72 + -36x) + -5x * (-2 + x) + x2(-2 + x)) = 0
5x(72 + -36x + (-2 * -5x + x * -5x) + x2(-2 + x)) = 0
5x(72 + -36x + (10x + -5x2) + x2(-2 + x)) = 0
5x(72 + -36x + 10x + -5x2 + (-2 * x2 + x * x2)) = 0
5x(72 + -36x + 10x + -5x2 + (-2x2 + x3)) = 0

Combine like terms: -36x + 10x = -26x
5x(72 + -26x + -5x2 + -2x2 + x3) = 0

Combine like terms: -5x2 + -2x2 = -7x2
5x(72 + -26x + -7x2 + x3) = 0
(72 * 5x + -26x * 5x + -7x2 * 5x + x3 * 5x) = 0
(360x + -130x2 + -35x3 + 5x4) = 0

Solving
360x + -130x2 + -35x3 + 5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(72 + -26x + -7x2 + x3) = 0

Ignore the factor 5.

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 '(72 + -26x + -7x2 + x3)' equal to zero and attempt to solve:

Simplifying
72 + -26x + -7x2 + x3 = 0

Solving
72 + -26x + -7x2 + x3 = 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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