F(x)=10x^4-10x^3-10x^2-10x

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Solution for F(x)=10x^4-10x^3-10x^2-10x equation: 


Simplifying
F(x) = 10x4 + -10x3 + -10x2 + -10x

Multiply F * x
xF = 10x4 + -10x3 + -10x2 + -10x

Reorder the terms:
xF = -10x + -10x2 + -10x3 + 10x4

Solving
xF = -10x + -10x2 + -10x3 + 10x4

Solving for variable 'x'.

Reorder the terms:
10x + xF + 10x2 + 10x3 + -10x4 = -10x + -10x2 + -10x3 + 10x4 + 10x + 10x2 + 10x3 + -10x4

Reorder the terms:
10x + xF + 10x2 + 10x3 + -10x4 = -10x + 10x + -10x2 + 10x2 + -10x3 + 10x3 + 10x4 + -10x4

Combine like terms: -10x + 10x = 0
10x + xF + 10x2 + 10x3 + -10x4 = 0 + -10x2 + 10x2 + -10x3 + 10x3 + 10x4 + -10x4
10x + xF + 10x2 + 10x3 + -10x4 = -10x2 + 10x2 + -10x3 + 10x3 + 10x4 + -10x4

Combine like terms: -10x2 + 10x2 = 0
10x + xF + 10x2 + 10x3 + -10x4 = 0 + -10x3 + 10x3 + 10x4 + -10x4
10x + xF + 10x2 + 10x3 + -10x4 = -10x3 + 10x3 + 10x4 + -10x4

Combine like terms: -10x3 + 10x3 = 0
10x + xF + 10x2 + 10x3 + -10x4 = 0 + 10x4 + -10x4
10x + xF + 10x2 + 10x3 + -10x4 = 10x4 + -10x4

Combine like terms: 10x4 + -10x4 = 0
10x + xF + 10x2 + 10x3 + -10x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + F + 10x + 10x2 + -10x3) = 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 '(10 + F + 10x + 10x2 + -10x3)' equal to zero and attempt to solve:

Simplifying
10 + F + 10x + 10x2 + -10x3 = 0

Solving
10 + F + 10x + 10x2 + -10x3 = 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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