P(x)=60x-3x^2

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Solution for P(x)=60x-3x^2 equation: 


Simplifying
P(x) = 60x + -3x2

Multiply P * x
xP = 60x + -3x2

Solving
xP = 60x + -3x2

Solving for variable 'x'.

Reorder the terms:
-60x + xP + 3x2 = 60x + -3x2 + -60x + 3x2

Reorder the terms:
-60x + xP + 3x2 = 60x + -60x + -3x2 + 3x2

Combine like terms: 60x + -60x = 0
-60x + xP + 3x2 = 0 + -3x2 + 3x2
-60x + xP + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-60x + xP + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-60 + 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 '(-60 + P + 3x)' equal to zero and attempt to solve:

Simplifying
-60 + P + 3x = 0

Solving
-60 + P + 3x = 0

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

Add '60' to each side of the equation.
-60 + P + 60 + 3x = 0 + 60

Reorder the terms:
-60 + 60 + P + 3x = 0 + 60

Combine like terms: -60 + 60 = 0
0 + P + 3x = 0 + 60
P + 3x = 0 + 60

Combine like terms: 0 + 60 = 60
P + 3x = 60

Add '-1P' to each side of the equation.
P + -1P + 3x = 60 + -1P

Combine like terms: P + -1P = 0
0 + 3x = 60 + -1P
3x = 60 + -1P

Divide each side by '3'.
x = 20 + -0.3333333333P

Simplifying
x = 20 + -0.3333333333P
Solution
x = {0, 20 + -0.3333333333P}

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