P(x)=3x^4+2x

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Solution for P(x)=3x^4+2x equation: 


Simplifying
P(x) = 3x4 + 2x

Multiply P * x
xP = 3x4 + 2x

Reorder the terms:
xP = 2x + 3x4

Solving
xP = 2x + 3x4

Solving for variable 'x'.

Reorder the terms:
-2x + xP + -3x4 = 2x + 3x4 + -2x + -3x4

Reorder the terms:
-2x + xP + -3x4 = 2x + -2x + 3x4 + -3x4

Combine like terms: 2x + -2x = 0
-2x + xP + -3x4 = 0 + 3x4 + -3x4
-2x + xP + -3x4 = 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
-2x + xP + -3x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + P + -3x3) = 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 '(-2 + P + -3x3)' equal to zero and attempt to solve:

Simplifying
-2 + P + -3x3 = 0

Solving
-2 + P + -3x3 = 0

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

Add '2' to each side of the equation.
-2 + P + 2 + -3x3 = 0 + 2

Reorder the terms:
-2 + 2 + P + -3x3 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + P + -3x3 = 0 + 2
P + -3x3 = 0 + 2

Combine like terms: 0 + 2 = 2
P + -3x3 = 2

Add '-1P' to each side of the equation.
P + -1P + -3x3 = 2 + -1P

Combine like terms: P + -1P = 0
0 + -3x3 = 2 + -1P
-3x3 = 2 + -1P

Divide each side by '-3'.
x3 = -0.6666666667 + 0.3333333333P

Simplifying
x3 = -0.6666666667 + 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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