R(x)=-0.6x^2+362x

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Solution for R(x)=-0.6x^2+362x equation: 


Simplifying
R(x) = -0.6x2 + 362x

Multiply R * x
xR = -0.6x2 + 362x

Reorder the terms:
xR = 362x + -0.6x2

Solving
xR = 362x + -0.6x2

Solving for variable 'x'.

Reorder the terms:
-362x + xR + 0.6x2 = 362x + -0.6x2 + -362x + 0.6x2

Reorder the terms:
-362x + xR + 0.6x2 = 362x + -362x + -0.6x2 + 0.6x2

Combine like terms: 362x + -362x = 0
-362x + xR + 0.6x2 = 0 + -0.6x2 + 0.6x2
-362x + xR + 0.6x2 = -0.6x2 + 0.6x2

Combine like terms: -0.6x2 + 0.6x2 = 0.0
-362x + xR + 0.6x2 = 0.0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-362 + 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 '(-362 + R + 0.6x)' equal to zero and attempt to solve:

Simplifying
-362 + R + 0.6x = 0

Solving
-362 + R + 0.6x = 0

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

Add '362' to each side of the equation.
-362 + R + 362 + 0.6x = 0 + 362

Reorder the terms:
-362 + 362 + R + 0.6x = 0 + 362

Combine like terms: -362 + 362 = 0
0 + R + 0.6x = 0 + 362
R + 0.6x = 0 + 362

Combine like terms: 0 + 362 = 362
R + 0.6x = 362

Add '-1R' to each side of the equation.
R + -1R + 0.6x = 362 + -1R

Combine like terms: R + -1R = 0
0 + 0.6x = 362 + -1R
0.6x = 362 + -1R

Divide each side by '0.6'.
x = 603.3333333 + -1.666666667R

Simplifying
x = 603.3333333 + -1.666666667R
Solution
x = {0, 603.3333333 + -1.666666667R}

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