R(x)=-0.05x^2+450x

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Solution for R(x)=-0.05x^2+450x equation: 


Simplifying
R(x) = -0.05x2 + 450x

Multiply R * x
xR = -0.05x2 + 450x

Reorder the terms:
xR = 450x + -0.05x2

Solving
xR = 450x + -0.05x2

Solving for variable 'x'.

Reorder the terms:
-450x + xR + 0.05x2 = 450x + -0.05x2 + -450x + 0.05x2

Reorder the terms:
-450x + xR + 0.05x2 = 450x + -450x + -0.05x2 + 0.05x2

Combine like terms: 450x + -450x = 0
-450x + xR + 0.05x2 = 0 + -0.05x2 + 0.05x2
-450x + xR + 0.05x2 = -0.05x2 + 0.05x2

Combine like terms: -0.05x2 + 0.05x2 = 0.00
-450x + xR + 0.05x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(-450 + R + 0.05x) = 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 '(-450 + R + 0.05x)' equal to zero and attempt to solve:

Simplifying
-450 + R + 0.05x = 0

Solving
-450 + R + 0.05x = 0

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

Add '450' to each side of the equation.
-450 + R + 450 + 0.05x = 0 + 450

Reorder the terms:
-450 + 450 + R + 0.05x = 0 + 450

Combine like terms: -450 + 450 = 0
0 + R + 0.05x = 0 + 450
R + 0.05x = 0 + 450

Combine like terms: 0 + 450 = 450
R + 0.05x = 450

Add '-1R' to each side of the equation.
R + -1R + 0.05x = 450 + -1R

Combine like terms: R + -1R = 0
0 + 0.05x = 450 + -1R
0.05x = 450 + -1R

Divide each side by '0.05'.
x = 9000 + -20R

Simplifying
x = 9000 + -20R
Solution
x = {0, 9000 + -20R}

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