R(x)=125x-0.01x^2

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Solution for R(x)=125x-0.01x^2 equation: 


Simplifying
R(x) = 125x + -0.01x2

Multiply R * x
xR = 125x + -0.01x2

Solving
xR = 125x + -0.01x2

Solving for variable 'x'.

Reorder the terms:
-125x + xR + 0.01x2 = 125x + -0.01x2 + -125x + 0.01x2

Reorder the terms:
-125x + xR + 0.01x2 = 125x + -125x + -0.01x2 + 0.01x2

Combine like terms: 125x + -125x = 0
-125x + xR + 0.01x2 = 0 + -0.01x2 + 0.01x2
-125x + xR + 0.01x2 = -0.01x2 + 0.01x2

Combine like terms: -0.01x2 + 0.01x2 = 0.00
-125x + xR + 0.01x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(-125 + R + 0.01x) = 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 '(-125 + R + 0.01x)' equal to zero and attempt to solve:

Simplifying
-125 + R + 0.01x = 0

Solving
-125 + R + 0.01x = 0

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

Add '125' to each side of the equation.
-125 + R + 125 + 0.01x = 0 + 125

Reorder the terms:
-125 + 125 + R + 0.01x = 0 + 125

Combine like terms: -125 + 125 = 0
0 + R + 0.01x = 0 + 125
R + 0.01x = 0 + 125

Combine like terms: 0 + 125 = 125
R + 0.01x = 125

Add '-1R' to each side of the equation.
R + -1R + 0.01x = 125 + -1R

Combine like terms: R + -1R = 0
0 + 0.01x = 125 + -1R
0.01x = 125 + -1R

Divide each side by '0.01'.
x = 12500 + -100R

Simplifying
x = 12500 + -100R
Solution
x = {0, 12500 + -100R}

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