R(x)=x(23-.07x)

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Solution for R(x)=x(23-.07x) equation: 


Simplifying
R(x) = x(23 + -0.07x)

Multiply R * x
xR = x(23 + -0.07x)
xR = (23 * x + -0.07x * x)
xR = (23x + -0.07x2)

Solving
xR = 23x + -0.07x2

Solving for variable 'x'.

Reorder the terms:
-23x + xR + 0.07x2 = 23x + -0.07x2 + -23x + 0.07x2

Reorder the terms:
-23x + xR + 0.07x2 = 23x + -23x + -0.07x2 + 0.07x2

Combine like terms: 23x + -23x = 0
-23x + xR + 0.07x2 = 0 + -0.07x2 + 0.07x2
-23x + xR + 0.07x2 = -0.07x2 + 0.07x2

Combine like terms: -0.07x2 + 0.07x2 = 0.00
-23x + xR + 0.07x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(-23 + R + 0.07x) = 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 '(-23 + R + 0.07x)' equal to zero and attempt to solve:

Simplifying
-23 + R + 0.07x = 0

Solving
-23 + R + 0.07x = 0

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

Add '23' to each side of the equation.
-23 + R + 23 + 0.07x = 0 + 23

Reorder the terms:
-23 + 23 + R + 0.07x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + R + 0.07x = 0 + 23
R + 0.07x = 0 + 23

Combine like terms: 0 + 23 = 23
R + 0.07x = 23

Add '-1R' to each side of the equation.
R + -1R + 0.07x = 23 + -1R

Combine like terms: R + -1R = 0
0 + 0.07x = 23 + -1R
0.07x = 23 + -1R

Divide each side by '0.07'.
x = 328.5714286 + -14.28571429R

Simplifying
x = 328.5714286 + -14.28571429R
Solution
x = {0, 328.5714286 + -14.28571429R}

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