R(x)=x*600-0.5x

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Solution for R(x)=x*600-0.5x equation: 


Simplifying
R(x) = x * 600 + -0.5x

Multiply R * x
xR = x * 600 + -0.5x

Reorder the terms for easier multiplication:
xR = 600x + -0.5x

Combine like terms: 600x + -0.5x = 599.5x
xR = 599.5x

Solving
xR = 599.5x

Solving for variable 'x'.

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

Add '-599.5x' to each side of the equation.
-599.5x + xR = 599.5x + -599.5x

Combine like terms: 599.5x + -599.5x = 0.0
-599.5x + xR = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-599.5 + R) = 0.0


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 '(-599.5 + R)' equal to zero and attempt to solve:

Simplifying
-599.5 + R = 0

Solving
-599.5 + R = 0

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

Add '599.5' to each side of the equation.
-599.5 + 599.5 + R = 0 + 599.5

Combine like terms: -599.5 + 599.5 = 0.0
0.0 + R = 0 + 599.5
R = 0 + 599.5

Combine like terms: 0 + 599.5 = 599.5
R = 599.5

Add '-1R' to each side of the equation.
R + -1R = 599.5 + -1R

Combine like terms: R + -1R = 0
0 = 599.5 + -1R

Simplifying
0 = 599.5 + -1R

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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