R(x)=-.15x^2+153x

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Solution for R(x)=-.15x^2+153x equation: 


Simplifying
R(x) = -0.15x2 + 153x

Multiply R * x
xR = -0.15x2 + 153x

Reorder the terms:
xR = 153x + -0.15x2

Solving
xR = 153x + -0.15x2

Solving for variable 'x'.

Reorder the terms:
-153x + xR + 0.15x2 = 153x + -0.15x2 + -153x + 0.15x2

Reorder the terms:
-153x + xR + 0.15x2 = 153x + -153x + -0.15x2 + 0.15x2

Combine like terms: 153x + -153x = 0
-153x + xR + 0.15x2 = 0 + -0.15x2 + 0.15x2
-153x + xR + 0.15x2 = -0.15x2 + 0.15x2

Combine like terms: -0.15x2 + 0.15x2 = 0.00
-153x + xR + 0.15x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(-153 + R + 0.15x) = 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 '(-153 + R + 0.15x)' equal to zero and attempt to solve:

Simplifying
-153 + R + 0.15x = 0

Solving
-153 + R + 0.15x = 0

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

Add '153' to each side of the equation.
-153 + R + 153 + 0.15x = 0 + 153

Reorder the terms:
-153 + 153 + R + 0.15x = 0 + 153

Combine like terms: -153 + 153 = 0
0 + R + 0.15x = 0 + 153
R + 0.15x = 0 + 153

Combine like terms: 0 + 153 = 153
R + 0.15x = 153

Add '-1R' to each side of the equation.
R + -1R + 0.15x = 153 + -1R

Combine like terms: R + -1R = 0
0 + 0.15x = 153 + -1R
0.15x = 153 + -1R

Divide each side by '0.15'.
x = 1020 + -6.666666667R

Simplifying
x = 1020 + -6.666666667R
Solution
x = {0, 1020 + -6.666666667R}

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