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

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


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

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

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

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

Multiply (3 + x2) * (-4x + x2)
xF = (3(-4x + x2) + x2(-4x + x2))
xF = ((-4x * 3 + x2 * 3) + x2(-4x + x2))
xF = ((-12x + 3x2) + x2(-4x + x2))
xF = (-12x + 3x2 + (-4x * x2 + x2 * x2))
xF = (-12x + 3x2 + (-4x3 + x4))
xF = (-12x + 3x2 + -4x3 + x4)

Solving
xF = -12x + 3x2 + -4x3 + x4

Solving for variable 'x'.

Reorder the terms:
12x + xF + -3x2 + 4x3 + -1x4 = -12x + 3x2 + -4x3 + x4 + 12x + -3x2 + 4x3 + -1x4

Reorder the terms:
12x + xF + -3x2 + 4x3 + -1x4 = -12x + 12x + 3x2 + -3x2 + -4x3 + 4x3 + x4 + -1x4

Combine like terms: -12x + 12x = 0
12x + xF + -3x2 + 4x3 + -1x4 = 0 + 3x2 + -3x2 + -4x3 + 4x3 + x4 + -1x4
12x + xF + -3x2 + 4x3 + -1x4 = 3x2 + -3x2 + -4x3 + 4x3 + x4 + -1x4

Combine like terms: 3x2 + -3x2 = 0
12x + xF + -3x2 + 4x3 + -1x4 = 0 + -4x3 + 4x3 + x4 + -1x4
12x + xF + -3x2 + 4x3 + -1x4 = -4x3 + 4x3 + x4 + -1x4

Combine like terms: -4x3 + 4x3 = 0
12x + xF + -3x2 + 4x3 + -1x4 = 0 + x4 + -1x4
12x + xF + -3x2 + 4x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
12x + xF + -3x2 + 4x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(12 + F + -3x + 4x2 + -1x3) = 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 '(12 + F + -3x + 4x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
12 + F + -3x + 4x2 + -1x3 = 0

Solving
12 + F + -3x + 4x2 + -1x3 = 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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