R(p)=-2.5p^2+800p

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Solution for R(p)=-2.5p^2+800p equation: 


Simplifying
R(p) = -2.5p2 + 800p

Multiply R * p
pR = -2.5p2 + 800p

Reorder the terms:
pR = 800p + -2.5p2

Solving
pR = 800p + -2.5p2

Solving for variable 'p'.

Reorder the terms:
-800p + pR + 2.5p2 = 800p + -2.5p2 + -800p + 2.5p2

Reorder the terms:
-800p + pR + 2.5p2 = 800p + -800p + -2.5p2 + 2.5p2

Combine like terms: 800p + -800p = 0
-800p + pR + 2.5p2 = 0 + -2.5p2 + 2.5p2
-800p + pR + 2.5p2 = -2.5p2 + 2.5p2

Combine like terms: -2.5p2 + 2.5p2 = 0.0
-800p + pR + 2.5p2 = 0.0

Factor out the Greatest Common Factor (GCF), 'p'.
p(-800 + 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 '(-800 + R + 2.5p)' equal to zero and attempt to solve:

Simplifying
-800 + R + 2.5p = 0

Solving
-800 + R + 2.5p = 0

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

Add '800' to each side of the equation.
-800 + R + 800 + 2.5p = 0 + 800

Reorder the terms:
-800 + 800 + R + 2.5p = 0 + 800

Combine like terms: -800 + 800 = 0
0 + R + 2.5p = 0 + 800
R + 2.5p = 0 + 800

Combine like terms: 0 + 800 = 800
R + 2.5p = 800

Add '-1R' to each side of the equation.
R + -1R + 2.5p = 800 + -1R

Combine like terms: R + -1R = 0
0 + 2.5p = 800 + -1R
2.5p = 800 + -1R

Divide each side by '2.5'.
p = 320 + -0.4R

Simplifying
p = 320 + -0.4R
Solution
p = {0, 320 + -0.4R}

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