P(x)=5x^3-35x^2+30x

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Solution for P(x)=5x^3-35x^2+30x equation: 


Simplifying
P(x) = 5x3 + -35x2 + 30x

Multiply P * x
xP = 5x3 + -35x2 + 30x

Reorder the terms:
xP = 30x + -35x2 + 5x3

Solving
xP = 30x + -35x2 + 5x3

Solving for variable 'x'.

Reorder the terms:
-30x + xP + 35x2 + -5x3 = 30x + -35x2 + 5x3 + -30x + 35x2 + -5x3

Reorder the terms:
-30x + xP + 35x2 + -5x3 = 30x + -30x + -35x2 + 35x2 + 5x3 + -5x3

Combine like terms: 30x + -30x = 0
-30x + xP + 35x2 + -5x3 = 0 + -35x2 + 35x2 + 5x3 + -5x3
-30x + xP + 35x2 + -5x3 = -35x2 + 35x2 + 5x3 + -5x3

Combine like terms: -35x2 + 35x2 = 0
-30x + xP + 35x2 + -5x3 = 0 + 5x3 + -5x3
-30x + xP + 35x2 + -5x3 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-30x + xP + 35x2 + -5x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-30 + P + 35x + -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 '(-30 + P + 35x + -5x2)' equal to zero and attempt to solve:

Simplifying
-30 + P + 35x + -5x2 = 0

Solving
-30 + P + 35x + -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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