P(x)=3x^3+6x-9x

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Solution for P(x)=3x^3+6x-9x equation: 


Simplifying
P(x) = 3x3 + 6x + -9x

Multiply P * x
xP = 3x3 + 6x + -9x

Reorder the terms:
xP = 6x + -9x + 3x3

Combine like terms: 6x + -9x = -3x
xP = -3x + 3x3

Solving
xP = -3x + 3x3

Solving for variable 'x'.

Reorder the terms:
3x + xP + -3x3 = -3x + 3x3 + 3x + -3x3

Reorder the terms:
3x + xP + -3x3 = -3x + 3x + 3x3 + -3x3

Combine like terms: -3x + 3x = 0
3x + xP + -3x3 = 0 + 3x3 + -3x3
3x + xP + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
3x + xP + -3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + P + -3x2) = 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 '(3 + P + -3x2)' equal to zero and attempt to solve:

Simplifying
3 + P + -3x2 = 0

Solving
3 + P + -3x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + P + -3 + -3x2 = 0 + -3

Reorder the terms:
3 + -3 + P + -3x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + P + -3x2 = 0 + -3
P + -3x2 = 0 + -3

Combine like terms: 0 + -3 = -3
P + -3x2 = -3

Add '-1P' to each side of the equation.
P + -1P + -3x2 = -3 + -1P

Combine like terms: P + -1P = 0
0 + -3x2 = -3 + -1P
-3x2 = -3 + -1P

Divide each side by '-3'.
x2 = 1 + 0.3333333333P

Simplifying
x2 = 1 + 0.3333333333P

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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