R(x)=7x-0.02x^2

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Solution for R(x)=7x-0.02x^2 equation: 


Simplifying
R(x) = 7x + -0.02x2

Multiply R * x
xR = 7x + -0.02x2

Solving
xR = 7x + -0.02x2

Solving for variable 'x'.

Reorder the terms:
-7x + xR + 0.02x2 = 7x + -0.02x2 + -7x + 0.02x2

Reorder the terms:
-7x + xR + 0.02x2 = 7x + -7x + -0.02x2 + 0.02x2

Combine like terms: 7x + -7x = 0
-7x + xR + 0.02x2 = 0 + -0.02x2 + 0.02x2
-7x + xR + 0.02x2 = -0.02x2 + 0.02x2

Combine like terms: -0.02x2 + 0.02x2 = 0.00
-7x + xR + 0.02x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + R + 0.02x) = 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 '(-7 + R + 0.02x)' equal to zero and attempt to solve:

Simplifying
-7 + R + 0.02x = 0

Solving
-7 + R + 0.02x = 0

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

Add '7' to each side of the equation.
-7 + R + 7 + 0.02x = 0 + 7

Reorder the terms:
-7 + 7 + R + 0.02x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + R + 0.02x = 0 + 7
R + 0.02x = 0 + 7

Combine like terms: 0 + 7 = 7
R + 0.02x = 7

Add '-1R' to each side of the equation.
R + -1R + 0.02x = 7 + -1R

Combine like terms: R + -1R = 0
0 + 0.02x = 7 + -1R
0.02x = 7 + -1R

Divide each side by '0.02'.
x = 350 + -50R

Simplifying
x = 350 + -50R
Solution
x = {0, 350 + -50R}

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