F(x)=5x^4+20x^3+60x^2

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Solution for F(x)=5x^4+20x^3+60x^2 equation: 


Simplifying
F(x) = 5x4 + 20x3 + 60x2

Multiply F * x
xF = 5x4 + 20x3 + 60x2

Reorder the terms:
xF = 60x2 + 20x3 + 5x4

Solving
xF = 60x2 + 20x3 + 5x4

Solving for variable 'x'.

Reorder the terms:
xF + -60x2 + -20x3 + -5x4 = 60x2 + -60x2 + 20x3 + -20x3 + 5x4 + -5x4

Combine like terms: 60x2 + -60x2 = 0
xF + -60x2 + -20x3 + -5x4 = 0 + 20x3 + -20x3 + 5x4 + -5x4
xF + -60x2 + -20x3 + -5x4 = 20x3 + -20x3 + 5x4 + -5x4

Combine like terms: 20x3 + -20x3 = 0
xF + -60x2 + -20x3 + -5x4 = 0 + 5x4 + -5x4
xF + -60x2 + -20x3 + -5x4 = 5x4 + -5x4

Combine like terms: 5x4 + -5x4 = 0
xF + -60x2 + -20x3 + -5x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(F + -60x + -20x2 + -5x3) = 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 + -60x + -20x2 + -5x3)' equal to zero and attempt to solve:

Simplifying
F + -60x + -20x2 + -5x3 = 0

Solving
F + -60x + -20x2 + -5x3 = 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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