R(x)=52x-0.3x^2

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Solution for R(x)=52x-0.3x^2 equation: 


Simplifying
R(x) = 52x + -0.3x2

Multiply R * x
xR = 52x + -0.3x2

Solving
xR = 52x + -0.3x2

Solving for variable 'x'.

Reorder the terms:
-52x + xR + 0.3x2 = 52x + -0.3x2 + -52x + 0.3x2

Reorder the terms:
-52x + xR + 0.3x2 = 52x + -52x + -0.3x2 + 0.3x2

Combine like terms: 52x + -52x = 0
-52x + xR + 0.3x2 = 0 + -0.3x2 + 0.3x2
-52x + xR + 0.3x2 = -0.3x2 + 0.3x2

Combine like terms: -0.3x2 + 0.3x2 = 0.0
-52x + xR + 0.3x2 = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-52 + R + 0.3x) = 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 '(-52 + R + 0.3x)' equal to zero and attempt to solve:

Simplifying
-52 + R + 0.3x = 0

Solving
-52 + R + 0.3x = 0

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

Add '52' to each side of the equation.
-52 + R + 52 + 0.3x = 0 + 52

Reorder the terms:
-52 + 52 + R + 0.3x = 0 + 52

Combine like terms: -52 + 52 = 0
0 + R + 0.3x = 0 + 52
R + 0.3x = 0 + 52

Combine like terms: 0 + 52 = 52
R + 0.3x = 52

Add '-1R' to each side of the equation.
R + -1R + 0.3x = 52 + -1R

Combine like terms: R + -1R = 0
0 + 0.3x = 52 + -1R
0.3x = 52 + -1R

Divide each side by '0.3'.
x = 173.3333333 + -3.333333333R

Simplifying
x = 173.3333333 + -3.333333333R
Solution
x = {0, 173.3333333 + -3.333333333R}

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