F(x)=x^5(x^5+7)(2x-2)

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Solution for F(x)=x^5(x^5+7)(2x-2) equation: 


Simplifying
F(x) = x5(x5 + 7)(2x + -2)

Multiply F * x
xF = x5(x5 + 7)(2x + -2)

Reorder the terms:
xF = x5(7 + x5)(2x + -2)

Reorder the terms:
xF = x5(7 + x5)(-2 + 2x)

Multiply (7 + x5) * (-2 + 2x)
xF = x5(7(-2 + 2x) + x5(-2 + 2x))
xF = x5((-2 * 7 + 2x * 7) + x5(-2 + 2x))
xF = x5((-14 + 14x) + x5(-2 + 2x))
xF = x5(-14 + 14x + (-2 * x5 + 2x * x5))
xF = x5(-14 + 14x + (-2x5 + 2x6))
xF = x5(-14 + 14x + -2x5 + 2x6)
xF = (-14 * x5 + 14x * x5 + -2x5 * x5 + 2x6 * x5)
xF = (-14x5 + 14x6 + -2x10 + 2x11)

Solving
xF = -14x5 + 14x6 + -2x10 + 2x11

Solving for variable 'x'.

Reorder the terms:
xF + 14x5 + -14x6 + 2x10 + -2x11 = -14x5 + 14x5 + 14x6 + -14x6 + -2x10 + 2x10 + 2x11 + -2x11

Combine like terms: -14x5 + 14x5 = 0
xF + 14x5 + -14x6 + 2x10 + -2x11 = 0 + 14x6 + -14x6 + -2x10 + 2x10 + 2x11 + -2x11
xF + 14x5 + -14x6 + 2x10 + -2x11 = 14x6 + -14x6 + -2x10 + 2x10 + 2x11 + -2x11

Combine like terms: 14x6 + -14x6 = 0
xF + 14x5 + -14x6 + 2x10 + -2x11 = 0 + -2x10 + 2x10 + 2x11 + -2x11
xF + 14x5 + -14x6 + 2x10 + -2x11 = -2x10 + 2x10 + 2x11 + -2x11

Combine like terms: -2x10 + 2x10 = 0
xF + 14x5 + -14x6 + 2x10 + -2x11 = 0 + 2x11 + -2x11
xF + 14x5 + -14x6 + 2x10 + -2x11 = 2x11 + -2x11

Combine like terms: 2x11 + -2x11 = 0
xF + 14x5 + -14x6 + 2x10 + -2x11 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(F + 14x4 + -14x5 + 2x9 + -2x10) = 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 + 14x4 + -14x5 + 2x9 + -2x10)' equal to zero and attempt to solve:

Simplifying
F + 14x4 + -14x5 + 2x9 + -2x10 = 0

Solving
F + 14x4 + -14x5 + 2x9 + -2x10 = 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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