P(x)=x^3-10x^2+34x

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Solution for P(x)=x^3-10x^2+34x equation: 


Simplifying
P(x) = x3 + -10x2 + 34x

Multiply P * x
xP = x3 + -10x2 + 34x

Reorder the terms:
xP = 34x + -10x2 + x3

Solving
xP = 34x + -10x2 + x3

Solving for variable 'x'.

Reorder the terms:
-34x + xP + 10x2 + -1x3 = 34x + -10x2 + x3 + -34x + 10x2 + -1x3

Reorder the terms:
-34x + xP + 10x2 + -1x3 = 34x + -34x + -10x2 + 10x2 + x3 + -1x3

Combine like terms: 34x + -34x = 0
-34x + xP + 10x2 + -1x3 = 0 + -10x2 + 10x2 + x3 + -1x3
-34x + xP + 10x2 + -1x3 = -10x2 + 10x2 + x3 + -1x3

Combine like terms: -10x2 + 10x2 = 0
-34x + xP + 10x2 + -1x3 = 0 + x3 + -1x3
-34x + xP + 10x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-34x + xP + 10x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-34 + P + 10x + -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 '(-34 + P + 10x + -1x2)' equal to zero and attempt to solve:

Simplifying
-34 + P + 10x + -1x2 = 0

Solving
-34 + P + 10x + -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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