F(x)=5x^3+27x^2+10x

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Solution for F(x)=5x^3+27x^2+10x equation: 


Simplifying
F(x) = 5x3 + 27x2 + 10x

Multiply F * x
xF = 5x3 + 27x2 + 10x

Reorder the terms:
xF = 10x + 27x2 + 5x3

Solving
xF = 10x + 27x2 + 5x3

Solving for variable 'x'.

Reorder the terms:
-10x + xF + -27x2 + -5x3 = 10x + 27x2 + 5x3 + -10x + -27x2 + -5x3

Reorder the terms:
-10x + xF + -27x2 + -5x3 = 10x + -10x + 27x2 + -27x2 + 5x3 + -5x3

Combine like terms: 10x + -10x = 0
-10x + xF + -27x2 + -5x3 = 0 + 27x2 + -27x2 + 5x3 + -5x3
-10x + xF + -27x2 + -5x3 = 27x2 + -27x2 + 5x3 + -5x3

Combine like terms: 27x2 + -27x2 = 0
-10x + xF + -27x2 + -5x3 = 0 + 5x3 + -5x3
-10x + xF + -27x2 + -5x3 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-10x + xF + -27x2 + -5x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + F + -27x + -5x2) = 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 + -27x + -5x2)' equal to zero and attempt to solve:

Simplifying
-10 + F + -27x + -5x2 = 0

Solving
-10 + F + -27x + -5x2 = 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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