64*pi^2=pi*r^2

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Solution for 64*pi^2=pi*r^2 equation:


Simplifying
64pi2 = pi * r2

Multiply ip * r2
64i2p = ipr2

Solving
64i2p = ipr2

Solving for variable 'i'.

Reorder the terms:
-1ipr2 + 64i2p = ipr2 + -1ipr2

Combine like terms: ipr2 + -1ipr2 = 0
-1ipr2 + 64i2p = 0

Factor out the Greatest Common Factor (GCF), 'ip'.
ip(-1r2 + 64i) = 0

Subproblem 1

Set the factor 'ip' equal to zero and attempt to solve: Simplifying ip = 0 Solving ip = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ip = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1r2 + 64i)' equal to zero and attempt to solve: Simplifying -1r2 + 64i = 0 Reorder the terms: 64i + -1r2 = 0 Solving 64i + -1r2 = 0 Move all terms containing i to the left, all other terms to the right. Add 'r2' to each side of the equation. 64i + -1r2 + r2 = 0 + r2 Combine like terms: -1r2 + r2 = 0 64i + 0 = 0 + r2 64i = 0 + r2 Remove the zero: 64i = r2 Divide each side by '64'. i = 0.015625r2 Simplifying i = 0.015625r2

Solution

i = {0.015625r2}

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