R(x)=300x-0.01x^2

Solution for R(x)=300x-0.01x^2 equation:

Simplifying
R(x) = 300x + -0.01x2

Multiply R * x
xR = 300x + -0.01x2

Solving
xR = 300x + -0.01x2

Solving for variable 'x'.

Reorder the terms:
-300x + xR + 0.01x2 = 300x + -0.01x2 + -300x + 0.01x2

Reorder the terms:
-300x + xR + 0.01x2 = 300x + -300x + -0.01x2 + 0.01x2

Combine like terms: 300x + -300x = 0
-300x + xR + 0.01x2 = 0 + -0.01x2 + 0.01x2
-300x + xR + 0.01x2 = -0.01x2 + 0.01x2

Combine like terms: -0.01x2 + 0.01x2 = 0.00
-300x + xR + 0.01x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(-300 + 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 '(-300 + R + 0.01x)' equal to zero and attempt to solve:

Simplifying
-300 + R + 0.01x = 0

Solving
-300 + R + 0.01x = 0

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

Add '300' to each side of the equation.
-300 + R + 300 + 0.01x = 0 + 300

Reorder the terms:
-300 + 300 + R + 0.01x = 0 + 300

Combine like terms: -300 + 300 = 0
0 + R + 0.01x = 0 + 300
R + 0.01x = 0 + 300

Combine like terms: 0 + 300 = 300
R + 0.01x = 300

Add '-1R' to each side of the equation.
R + -1R + 0.01x = 300 + -1R

Combine like terms: R + -1R = 0
0 + 0.01x = 300 + -1R
0.01x = 300 + -1R

Divide each side by '0.01'.
x = 30000 + -100R

Simplifying
x = 30000 + -100R
Solution
x = {0, 30000 + -100R}