R(p)=-2.5p^2+450p

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Solution for R(p)=-2.5p^2+450p equation: 


Simplifying
R(p) = -2.5p2 + 450p

Multiply R * p
pR = -2.5p2 + 450p

Reorder the terms:
pR = 450p + -2.5p2

Solving
pR = 450p + -2.5p2

Solving for variable 'p'.

Reorder the terms:
-450p + pR + 2.5p2 = 450p + -2.5p2 + -450p + 2.5p2

Reorder the terms:
-450p + pR + 2.5p2 = 450p + -450p + -2.5p2 + 2.5p2

Combine like terms: 450p + -450p = 0
-450p + pR + 2.5p2 = 0 + -2.5p2 + 2.5p2
-450p + pR + 2.5p2 = -2.5p2 + 2.5p2

Combine like terms: -2.5p2 + 2.5p2 = 0.0
-450p + pR + 2.5p2 = 0.0

Factor out the Greatest Common Factor (GCF), 'p'.
p(-450 + R + 2.5p) = 0.0


Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0

Subproblem 2
Set the factor '(-450 + R + 2.5p)' equal to zero and attempt to solve:

Simplifying
-450 + R + 2.5p = 0

Solving
-450 + R + 2.5p = 0

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

Add '450' to each side of the equation.
-450 + R + 450 + 2.5p = 0 + 450

Reorder the terms:
-450 + 450 + R + 2.5p = 0 + 450

Combine like terms: -450 + 450 = 0
0 + R + 2.5p = 0 + 450
R + 2.5p = 0 + 450

Combine like terms: 0 + 450 = 450
R + 2.5p = 450

Add '-1R' to each side of the equation.
R + -1R + 2.5p = 450 + -1R

Combine like terms: R + -1R = 0
0 + 2.5p = 450 + -1R
2.5p = 450 + -1R

Divide each side by '2.5'.
p = 180 + -0.4R

Simplifying
p = 180 + -0.4R
Solution
p = {0, 180 + -0.4R}

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