200=2(pi)r^2+2(pi)r(5)

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Solution for 200=2(pi)r^2+2(pi)r(5) equation: 


Simplifying
200 = 2(pi) * r2 + 2(pi) * r(5)

Multiply ip * r2
200 = 2ipr2 + 2(pi) * r(5)

Reorder the terms for easier multiplication:
200 = 2ipr2 + 2 * 5ip * r

Multiply 2 * 5
200 = 2ipr2 + 10ip * r

Multiply ip * r
200 = 2ipr2 + 10ipr

Reorder the terms:
200 = 10ipr + 2ipr2

Solving
200 = 10ipr + 2ipr2

Solving for variable 'i'.

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

Add '-10ipr' to each side of the equation.
200 + -10ipr = 10ipr + -10ipr + 2ipr2

Combine like terms: 10ipr + -10ipr = 0
200 + -10ipr = 0 + 2ipr2
200 + -10ipr = 2ipr2

Add '-2ipr2' to each side of the equation.
200 + -10ipr + -2ipr2 = 2ipr2 + -2ipr2

Combine like terms: 2ipr2 + -2ipr2 = 0
200 + -10ipr + -2ipr2 = 0

Add '-200' to each side of the equation.
200 + -10ipr + -200 + -2ipr2 = 0 + -200

Reorder the terms:
200 + -200 + -10ipr + -2ipr2 = 0 + -200

Combine like terms: 200 + -200 = 0
0 + -10ipr + -2ipr2 = 0 + -200
-10ipr + -2ipr2 = 0 + -200

Combine like terms: 0 + -200 = -200
-10ipr + -2ipr2 = -200

Reorder the terms:
200 + -10ipr + -2ipr2 = -200 + 200

Combine like terms: -200 + 200 = 0
200 + -10ipr + -2ipr2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(100 + -5ipr + -1ipr2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(100 + -5ipr + -1ipr2)' equal to zero and attempt to solve:

Simplifying
100 + -5ipr + -1ipr2 = 0

Solving
100 + -5ipr + -1ipr2 = 0

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

Add '-100' to each side of the equation.
100 + -5ipr + -100 + -1ipr2 = 0 + -100

Reorder the terms:
100 + -100 + -5ipr + -1ipr2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -5ipr + -1ipr2 = 0 + -100
-5ipr + -1ipr2 = 0 + -100

Combine like terms: 0 + -100 = -100
-5ipr + -1ipr2 = -100

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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