S(r)=2(3.14)r^2+20(3.14)r

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Solution for S(r)=2(3.14)r^2+20(3.14)r equation: 


Simplifying
S(r) = 2(3.14) * r2 + 20(3.14) * r

Multiply S * r
rS = 2(3.14) * r2 + 20(3.14) * r

Multiply 2 * 3.14
rS = 6.28r2 + 20(3.14) * r

Multiply 20 * 3.14
rS = 6.28r2 + 62.8r

Reorder the terms:
rS = 62.8r + 6.28r2

Solving
rS = 62.8r + 6.28r2

Solving for variable 'r'.

Reorder the terms:
-62.8r + rS + -6.28r2 = 62.8r + 6.28r2 + -62.8r + -6.28r2

Reorder the terms:
-62.8r + rS + -6.28r2 = 62.8r + -62.8r + 6.28r2 + -6.28r2

Combine like terms: 62.8r + -62.8r = 0.0
-62.8r + rS + -6.28r2 = 0.0 + 6.28r2 + -6.28r2
-62.8r + rS + -6.28r2 = 6.28r2 + -6.28r2

Combine like terms: 6.28r2 + -6.28r2 = 0.00
-62.8r + rS + -6.28r2 = 0.00

Factor out the Greatest Common Factor (GCF), 'r'.
r(-62.8 + S + -6.28r) = 0.00


Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0

Subproblem 2
Set the factor '(-62.8 + S + -6.28r)' equal to zero and attempt to solve:

Simplifying
-62.8 + S + -6.28r = 0

Solving
-62.8 + S + -6.28r = 0

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

Add '62.8' to each side of the equation.
-62.8 + S + 62.8 + -6.28r = 0 + 62.8

Reorder the terms:
-62.8 + 62.8 + S + -6.28r = 0 + 62.8

Combine like terms: -62.8 + 62.8 = 0.0
0.0 + S + -6.28r = 0 + 62.8
S + -6.28r = 0 + 62.8

Combine like terms: 0 + 62.8 = 62.8
S + -6.28r = 62.8

Add '-1S' to each side of the equation.
S + -1S + -6.28r = 62.8 + -1S

Combine like terms: S + -1S = 0
0 + -6.28r = 62.8 + -1S
-6.28r = 62.8 + -1S

Divide each side by '-6.28'.
r = -10 + 0.1592356688S

Simplifying
r = -10 + 0.1592356688S
Solution
r = {0, -10 + 0.1592356688S}

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