R(x)=x(1800-30x)

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Solution for R(x)=x(1800-30x) equation: 


Simplifying
R(x) = x(1800 + -30x)

Multiply R * x
xR = x(1800 + -30x)
xR = (1800 * x + -30x * x)
xR = (1800x + -30x2)

Solving
xR = 1800x + -30x2

Solving for variable 'x'.

Reorder the terms:
-1800x + xR + 30x2 = 1800x + -30x2 + -1800x + 30x2

Reorder the terms:
-1800x + xR + 30x2 = 1800x + -1800x + -30x2 + 30x2

Combine like terms: 1800x + -1800x = 0
-1800x + xR + 30x2 = 0 + -30x2 + 30x2
-1800x + xR + 30x2 = -30x2 + 30x2

Combine like terms: -30x2 + 30x2 = 0
-1800x + xR + 30x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1800 + R + 30x) = 0


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 '(-1800 + R + 30x)' equal to zero and attempt to solve:

Simplifying
-1800 + R + 30x = 0

Solving
-1800 + R + 30x = 0

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

Add '1800' to each side of the equation.
-1800 + R + 1800 + 30x = 0 + 1800

Reorder the terms:
-1800 + 1800 + R + 30x = 0 + 1800

Combine like terms: -1800 + 1800 = 0
0 + R + 30x = 0 + 1800
R + 30x = 0 + 1800

Combine like terms: 0 + 1800 = 1800
R + 30x = 1800

Add '-1R' to each side of the equation.
R + -1R + 30x = 1800 + -1R

Combine like terms: R + -1R = 0
0 + 30x = 1800 + -1R
30x = 1800 + -1R

Divide each side by '30'.
x = 60 + -0.03333333333R

Simplifying
x = 60 + -0.03333333333R
Solution
x = {0, 60 + -0.03333333333R}

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