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

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


Simplifying
F(x) = 4x2 + -1x(4x2 + -1x(x))

Multiply F * x
xF = 4x2 + -1x(4x2 + -1x(x))

Multiply x * x
xF = 4x2 + -1x(4x2 + -1x2)

Combine like terms: 4x2 + -1x2 = 3x2
xF = 4x2 + -1x(3x2)

Remove parenthesis around (3x2)
xF = 4x2 + -1x * 3x2

Reorder the terms for easier multiplication:
xF = 4x2 + -1 * 3x * x2

Multiply -1 * 3
xF = 4x2 + -3x * x2

Multiply x * x2
xF = 4x2 + -3x3

Solving
xF = 4x2 + -3x3

Solving for variable 'x'.

Reorder the terms:
xF + -4x2 + 3x3 = 4x2 + -4x2 + -3x3 + 3x3

Combine like terms: 4x2 + -4x2 = 0
xF + -4x2 + 3x3 = 0 + -3x3 + 3x3
xF + -4x2 + 3x3 = -3x3 + 3x3

Combine like terms: -3x3 + 3x3 = 0
xF + -4x2 + 3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(F + -4x + 3x2) = 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 + -4x + 3x2)' equal to zero and attempt to solve:

Simplifying
F + -4x + 3x2 = 0

Solving
F + -4x + 3x2 = 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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