P(x)=x(50x^2+30x)

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Solution for P(x)=x(50x^2+30x) equation: 


Simplifying
P(x) = x(50x2 + 30x)

Multiply P * x
xP = x(50x2 + 30x)

Reorder the terms:
xP = x(30x + 50x2)
xP = (30x * x + 50x2 * x)
xP = (30x2 + 50x3)

Solving
xP = 30x2 + 50x3

Solving for variable 'x'.

Reorder the terms:
xP + -30x2 + -50x3 = 30x2 + -30x2 + 50x3 + -50x3

Combine like terms: 30x2 + -30x2 = 0
xP + -30x2 + -50x3 = 0 + 50x3 + -50x3
xP + -30x2 + -50x3 = 50x3 + -50x3

Combine like terms: 50x3 + -50x3 = 0
xP + -30x2 + -50x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(P + -30x + -50x2) = 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 '(P + -30x + -50x2)' equal to zero and attempt to solve:

Simplifying
P + -30x + -50x2 = 0

Solving
P + -30x + -50x2 = 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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