F(x)=x^3-6x^2+5x

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Solution for F(x)=x^3-6x^2+5x equation: 


Simplifying
F(x) = x3 + -6x2 + 5x

Multiply F * x
xF = x3 + -6x2 + 5x

Reorder the terms:
xF = 5x + -6x2 + x3

Solving
xF = 5x + -6x2 + x3

Solving for variable 'x'.

Reorder the terms:
-5x + xF + 6x2 + -1x3 = 5x + -6x2 + x3 + -5x + 6x2 + -1x3

Reorder the terms:
-5x + xF + 6x2 + -1x3 = 5x + -5x + -6x2 + 6x2 + x3 + -1x3

Combine like terms: 5x + -5x = 0
-5x + xF + 6x2 + -1x3 = 0 + -6x2 + 6x2 + x3 + -1x3
-5x + xF + 6x2 + -1x3 = -6x2 + 6x2 + x3 + -1x3

Combine like terms: -6x2 + 6x2 = 0
-5x + xF + 6x2 + -1x3 = 0 + x3 + -1x3
-5x + xF + 6x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-5x + xF + 6x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + F + 6x + -1x2) = 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 '(-5 + F + 6x + -1x2)' equal to zero and attempt to solve:

Simplifying
-5 + F + 6x + -1x2 = 0

Solving
-5 + F + 6x + -1x2 = 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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