R(x)=6x-0.01x^2

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Solution for R(x)=6x-0.01x^2 equation:


Simplifying
R(x) = 6x + -0.01x2

Multiply R * x
xR = 6x + -0.01x2

Solving
xR = 6x + -0.01x2

Solving for variable 'x'.

Reorder the terms:
-6x + xR + 0.01x2 = 6x + -0.01x2 + -6x + 0.01x2

Reorder the terms:
-6x + xR + 0.01x2 = 6x + -6x + -0.01x2 + 0.01x2

Combine like terms: 6x + -6x = 0
-6x + xR + 0.01x2 = 0 + -0.01x2 + 0.01x2
-6x + xR + 0.01x2 = -0.01x2 + 0.01x2

Combine like terms: -0.01x2 + 0.01x2 = 0.00
-6x + xR + 0.01x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + R + 0.01x) = 0.00

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 '(-6 + R + 0.01x)' equal to zero and attempt to solve: Simplifying -6 + R + 0.01x = 0 Solving -6 + R + 0.01x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + R + 6 + 0.01x = 0 + 6 Reorder the terms: -6 + 6 + R + 0.01x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + R + 0.01x = 0 + 6 R + 0.01x = 0 + 6 Combine like terms: 0 + 6 = 6 R + 0.01x = 6 Add '-1R' to each side of the equation. R + -1R + 0.01x = 6 + -1R Combine like terms: R + -1R = 0 0 + 0.01x = 6 + -1R 0.01x = 6 + -1R Divide each side by '0.01'. x = 600 + -100R Simplifying x = 600 + -100R

Solution

x = {0, 600 + -100R}

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