R(x)=276x-0.6x^2

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Solution for R(x)=276x-0.6x^2 equation: 


Simplifying
R(x) = 276x + -0.6x2

Multiply R * x
xR = 276x + -0.6x2

Solving
xR = 276x + -0.6x2

Solving for variable 'x'.

Reorder the terms:
-276x + xR + 0.6x2 = 276x + -0.6x2 + -276x + 0.6x2

Reorder the terms:
-276x + xR + 0.6x2 = 276x + -276x + -0.6x2 + 0.6x2

Combine like terms: 276x + -276x = 0
-276x + xR + 0.6x2 = 0 + -0.6x2 + 0.6x2
-276x + xR + 0.6x2 = -0.6x2 + 0.6x2

Combine like terms: -0.6x2 + 0.6x2 = 0.0
-276x + xR + 0.6x2 = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-276 + R + 0.6x) = 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 '(-276 + R + 0.6x)' equal to zero and attempt to solve:

Simplifying
-276 + R + 0.6x = 0

Solving
-276 + R + 0.6x = 0

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

Add '276' to each side of the equation.
-276 + R + 276 + 0.6x = 0 + 276

Reorder the terms:
-276 + 276 + R + 0.6x = 0 + 276

Combine like terms: -276 + 276 = 0
0 + R + 0.6x = 0 + 276
R + 0.6x = 0 + 276

Combine like terms: 0 + 276 = 276
R + 0.6x = 276

Add '-1R' to each side of the equation.
R + -1R + 0.6x = 276 + -1R

Combine like terms: R + -1R = 0
0 + 0.6x = 276 + -1R
0.6x = 276 + -1R

Divide each side by '0.6'.
x = 460 + -1.666666667R

Simplifying
x = 460 + -1.666666667R
Solution
x = {0, 460 + -1.666666667R}

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