Px=(30-3x)x

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Solution for Px=(30-3x)x equation: 


Simplifying
Px = (30 + -3x) * x

Reorder the terms for easier multiplication:
xP = x(30 + -3x)
xP = (30 * x + -3x * x)
xP = (30x + -3x2)

Solving
xP = 30x + -3x2

Solving for variable 'x'.

Reorder the terms:
-30x + xP + 3x2 = 30x + -3x2 + -30x + 3x2

Reorder the terms:
-30x + xP + 3x2 = 30x + -30x + -3x2 + 3x2

Combine like terms: 30x + -30x = 0
-30x + xP + 3x2 = 0 + -3x2 + 3x2
-30x + xP + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-30x + xP + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-30 + P + 3x) = 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 + 3x)' equal to zero and attempt to solve:

Simplifying
-30 + P + 3x = 0

Solving
-30 + P + 3x = 0

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

Add '30' to each side of the equation.
-30 + P + 30 + 3x = 0 + 30

Reorder the terms:
-30 + 30 + P + 3x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + P + 3x = 0 + 30
P + 3x = 0 + 30

Combine like terms: 0 + 30 = 30
P + 3x = 30

Add '-1P' to each side of the equation.
P + -1P + 3x = 30 + -1P

Combine like terms: P + -1P = 0
0 + 3x = 30 + -1P
3x = 30 + -1P

Divide each side by '3'.
x = 10 + -0.3333333333P

Simplifying
x = 10 + -0.3333333333P
Solution
x = {0, 10 + -0.3333333333P}

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