P(x)=0.08x^2+80x

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Solution for P(x)=0.08x^2+80x equation: 


Simplifying
P(x) = 0.08x2 + 80x

Multiply P * x
xP = 0.08x2 + 80x

Reorder the terms:
xP = 80x + 0.08x2

Solving
xP = 80x + 0.08x2

Solving for variable 'x'.

Reorder the terms:
-80x + xP + -0.08x2 = 80x + 0.08x2 + -80x + -0.08x2

Reorder the terms:
-80x + xP + -0.08x2 = 80x + -80x + 0.08x2 + -0.08x2

Combine like terms: 80x + -80x = 0
-80x + xP + -0.08x2 = 0 + 0.08x2 + -0.08x2
-80x + xP + -0.08x2 = 0.08x2 + -0.08x2

Combine like terms: 0.08x2 + -0.08x2 = 0.00
-80x + xP + -0.08x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(-80 + P + -0.08x) = 0.00


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 '(-80 + P + -0.08x)' equal to zero and attempt to solve:

Simplifying
-80 + P + -0.08x = 0

Solving
-80 + P + -0.08x = 0

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

Add '80' to each side of the equation.
-80 + P + 80 + -0.08x = 0 + 80

Reorder the terms:
-80 + 80 + P + -0.08x = 0 + 80

Combine like terms: -80 + 80 = 0
0 + P + -0.08x = 0 + 80
P + -0.08x = 0 + 80

Combine like terms: 0 + 80 = 80
P + -0.08x = 80

Add '-1P' to each side of the equation.
P + -1P + -0.08x = 80 + -1P

Combine like terms: P + -1P = 0
0 + -0.08x = 80 + -1P
-0.08x = 80 + -1P

Divide each side by '-0.08'.
x = -1000 + 12.5P

Simplifying
x = -1000 + 12.5P
Solution
x = {0, -1000 + 12.5P}

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