S(x)=x^5+3x^2

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Solution for S(x)=x^5+3x^2 equation: 


Simplifying
S(x) = x5 + 3x2

Multiply S * x
xS = x5 + 3x2

Reorder the terms:
xS = 3x2 + x5

Solving
xS = 3x2 + x5

Solving for variable 'x'.

Reorder the terms:
xS + -3x2 + -1x5 = 3x2 + -3x2 + x5 + -1x5

Combine like terms: 3x2 + -3x2 = 0
xS + -3x2 + -1x5 = 0 + x5 + -1x5
xS + -3x2 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
xS + -3x2 + -1x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(S + -3x + -1x4) = 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 '(S + -3x + -1x4)' equal to zero and attempt to solve:

Simplifying
S + -3x + -1x4 = 0

Solving
S + -3x + -1x4 = 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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