F(x)=4x^2(x-3)

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Solution for F(x)=4x^2(x-3) equation:


Simplifying
F(x) = 4x2(x + -3)

Multiply F * x
xF = 4x2(x + -3)

Reorder the terms:
xF = 4x2(-3 + x)
xF = (-3 * 4x2 + x * 4x2)
xF = (-12x2 + 4x3)

Solving
xF = -12x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
xF + 12x2 + -4x3 = -12x2 + 12x2 + 4x3 + -4x3

Combine like terms: -12x2 + 12x2 = 0
xF + 12x2 + -4x3 = 0 + 4x3 + -4x3
xF + 12x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
xF + 12x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(F + 12x + -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 + 12x + -4x2)' equal to zero and attempt to solve: Simplifying F + 12x + -4x2 = 0 Solving F + 12x + -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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