R(x)=x(1.190-36x)

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Solution for R(x)=x(1.190-36x) equation: 


Simplifying
R(x) = x(1.190 + -36x)

Multiply R * x
xR = x(1.190 + -36x)
xR = (1.190 * x + -36x * x)
xR = (1.190x + -36x2)

Solving
xR = 1.190x + -36x2

Solving for variable 'x'.

Reorder the terms:
-1.190x + xR + 36x2 = 1.190x + -36x2 + -1.190x + 36x2

Reorder the terms:
-1.190x + xR + 36x2 = 1.190x + -1.190x + -36x2 + 36x2

Combine like terms: 1.190x + -1.190x = 0.000
-1.190x + xR + 36x2 = 0.000 + -36x2 + 36x2
-1.190x + xR + 36x2 = -36x2 + 36x2

Combine like terms: -36x2 + 36x2 = 0
-1.190x + xR + 36x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1.190 + R + 36x) = 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 '(-1.190 + R + 36x)' equal to zero and attempt to solve:

Simplifying
-1.190 + R + 36x = 0

Solving
-1.190 + R + 36x = 0

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

Add '1.190' to each side of the equation.
-1.190 + R + 1.190 + 36x = 0 + 1.190

Reorder the terms:
-1.190 + 1.190 + R + 36x = 0 + 1.190

Combine like terms: -1.190 + 1.190 = 0.000
0.000 + R + 36x = 0 + 1.190
R + 36x = 0 + 1.190

Combine like terms: 0 + 1.190 = 1.19
R + 36x = 1.19

Add '-1R' to each side of the equation.
R + -1R + 36x = 1.19 + -1R

Combine like terms: R + -1R = 0
0 + 36x = 1.19 + -1R
36x = 1.19 + -1R

Divide each side by '36'.
x = 0.03305555556 + -0.02777777778R

Simplifying
x = 0.03305555556 + -0.02777777778R
Solution
x = {0, 0.03305555556 + -0.02777777778R}

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