F(x)=x^2(108-4x)

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Solution for F(x)=x^2(108-4x) equation: 


Simplifying
F(x) = x2(108 + -4x)

Multiply F * x
xF = x2(108 + -4x)
xF = (108 * x2 + -4x * x2)
xF = (108x2 + -4x3)

Solving
xF = 108x2 + -4x3

Solving for variable 'x'.

Reorder the terms:
xF + -108x2 + 4x3 = 108x2 + -108x2 + -4x3 + 4x3

Combine like terms: 108x2 + -108x2 = 0
xF + -108x2 + 4x3 = 0 + -4x3 + 4x3
xF + -108x2 + 4x3 = -4x3 + 4x3

Combine like terms: -4x3 + 4x3 = 0
xF + -108x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(F + -108x + 4x2) = 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 '(F + -108x + 4x2)' equal to zero and attempt to solve:

Simplifying
F + -108x + 4x2 = 0

Solving
F + -108x + 4x2 = 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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