R(x)=-0.04x^2+800x

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Solution for R(x)=-0.04x^2+800x equation: 


Simplifying
R(x) = -0.04x2 + 800x

Multiply R * x
xR = -0.04x2 + 800x

Reorder the terms:
xR = 800x + -0.04x2

Solving
xR = 800x + -0.04x2

Solving for variable 'x'.

Reorder the terms:
-800x + xR + 0.04x2 = 800x + -0.04x2 + -800x + 0.04x2

Reorder the terms:
-800x + xR + 0.04x2 = 800x + -800x + -0.04x2 + 0.04x2

Combine like terms: 800x + -800x = 0
-800x + xR + 0.04x2 = 0 + -0.04x2 + 0.04x2
-800x + xR + 0.04x2 = -0.04x2 + 0.04x2

Combine like terms: -0.04x2 + 0.04x2 = 0.00
-800x + xR + 0.04x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(-800 + R + 0.04x) = 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 '(-800 + R + 0.04x)' equal to zero and attempt to solve:

Simplifying
-800 + R + 0.04x = 0

Solving
-800 + R + 0.04x = 0

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

Add '800' to each side of the equation.
-800 + R + 800 + 0.04x = 0 + 800

Reorder the terms:
-800 + 800 + R + 0.04x = 0 + 800

Combine like terms: -800 + 800 = 0
0 + R + 0.04x = 0 + 800
R + 0.04x = 0 + 800

Combine like terms: 0 + 800 = 800
R + 0.04x = 800

Add '-1R' to each side of the equation.
R + -1R + 0.04x = 800 + -1R

Combine like terms: R + -1R = 0
0 + 0.04x = 800 + -1R
0.04x = 800 + -1R

Divide each side by '0.04'.
x = 20000 + -25R

Simplifying
x = 20000 + -25R
Solution
x = {0, 20000 + -25R}

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