x(4x+7)(x^2-81)=0

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Solution for x(4x+7)(x^2-81)=0 equation: 


Simplifying
x(4x + 7)(x2 + -81) = 0

Reorder the terms:
x(7 + 4x)(x2 + -81) = 0

Reorder the terms:
x(7 + 4x)(-81 + x2) = 0

Multiply (7 + 4x) * (-81 + x2)
x(7(-81 + x2) + 4x * (-81 + x2)) = 0
x((-81 * 7 + x2 * 7) + 4x * (-81 + x2)) = 0
x((-567 + 7x2) + 4x * (-81 + x2)) = 0
x(-567 + 7x2 + (-81 * 4x + x2 * 4x)) = 0
x(-567 + 7x2 + (-324x + 4x3)) = 0

Reorder the terms:
x(-567 + -324x + 7x2 + 4x3) = 0
x(-567 + -324x + 7x2 + 4x3) = 0
(-567 * x + -324x * x + 7x2 * x + 4x3 * x) = 0
(-567x + -324x2 + 7x3 + 4x4) = 0

Solving
-567x + -324x2 + 7x3 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-567 + -324x + 7x2 + 4x3) = 0


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 '(-567 + -324x + 7x2 + 4x3)' equal to zero and attempt to solve:

Simplifying
-567 + -324x + 7x2 + 4x3 = 0

Solving
-567 + -324x + 7x2 + 4x3 = 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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