R(p)=-10p^2+130p

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Solution for R(p)=-10p^2+130p equation: 


Simplifying
R(p) = -10p2 + 130p

Multiply R * p
pR = -10p2 + 130p

Reorder the terms:
pR = 130p + -10p2

Solving
pR = 130p + -10p2

Solving for variable 'p'.

Reorder the terms:
-130p + pR + 10p2 = 130p + -10p2 + -130p + 10p2

Reorder the terms:
-130p + pR + 10p2 = 130p + -130p + -10p2 + 10p2

Combine like terms: 130p + -130p = 0
-130p + pR + 10p2 = 0 + -10p2 + 10p2
-130p + pR + 10p2 = -10p2 + 10p2

Combine like terms: -10p2 + 10p2 = 0
-130p + pR + 10p2 = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(-130 + R + 10p) = 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 '(-130 + R + 10p)' equal to zero and attempt to solve:

Simplifying
-130 + R + 10p = 0

Solving
-130 + R + 10p = 0

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

Add '130' to each side of the equation.
-130 + R + 130 + 10p = 0 + 130

Reorder the terms:
-130 + 130 + R + 10p = 0 + 130

Combine like terms: -130 + 130 = 0
0 + R + 10p = 0 + 130
R + 10p = 0 + 130

Combine like terms: 0 + 130 = 130
R + 10p = 130

Add '-1R' to each side of the equation.
R + -1R + 10p = 130 + -1R

Combine like terms: R + -1R = 0
0 + 10p = 130 + -1R
10p = 130 + -1R

Divide each side by '10'.
p = 13 + -0.1R

Simplifying
p = 13 + -0.1R
Solution
p = {0, 13 + -0.1R}

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