5x(3x+7)(8x^2-24)=0

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Solution for 5x(3x+7)(8x^2-24)=0 equation: 


Simplifying
5x(3x + 7)(8x2 + -24) = 0

Reorder the terms:
5x(7 + 3x)(8x2 + -24) = 0

Reorder the terms:
5x(7 + 3x)(-24 + 8x2) = 0

Multiply (7 + 3x) * (-24 + 8x2)
5x(7(-24 + 8x2) + 3x * (-24 + 8x2)) = 0
5x((-24 * 7 + 8x2 * 7) + 3x * (-24 + 8x2)) = 0
5x((-168 + 56x2) + 3x * (-24 + 8x2)) = 0
5x(-168 + 56x2 + (-24 * 3x + 8x2 * 3x)) = 0
5x(-168 + 56x2 + (-72x + 24x3)) = 0

Reorder the terms:
5x(-168 + -72x + 56x2 + 24x3) = 0
5x(-168 + -72x + 56x2 + 24x3) = 0
(-168 * 5x + -72x * 5x + 56x2 * 5x + 24x3 * 5x) = 0
(-840x + -360x2 + 280x3 + 120x4) = 0

Solving
-840x + -360x2 + 280x3 + 120x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '40x'.
40x(-21 + -9x + 7x2 + 3x3) = 0

Ignore the factor 40.

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 '(-21 + -9x + 7x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
-21 + -9x + 7x2 + 3x3 = 0

Solving
-21 + -9x + 7x2 + 3x3 = 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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