144pi=pir^2*9

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Solution for 144pi=pir^2*9 equation:


Simplifying
144pi = pir2 * 9

Reorder the terms for easier multiplication:
144ip = 9ipr2

Solving
144ip = 9ipr2

Solving for variable 'i'.

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

Add '-9ipr2' to each side of the equation.
144ip + -9ipr2 = 9ipr2 + -9ipr2

Combine like terms: 9ipr2 + -9ipr2 = 0
144ip + -9ipr2 = 0

Factor out the Greatest Common Factor (GCF), '9ip'.
9ip(16 + -1r2) = 0

Factor a difference between two squares.
9ip((4 + r)(4 + -1r)) = 0

Ignore the factor 9.

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 '(4 + r)' equal to zero and attempt to solve: Simplifying 4 + r = 0 Solving 4 + r = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r = 0 + -4 r = 0 + -4 Combine like terms: 0 + -4 = -4 r = -4 Add '-1r' to each side of the equation. r + -1r = -4 + -1r Combine like terms: r + -1r = 0 0 = -4 + -1r Simplifying 0 = -4 + -1r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Add 'r' to each side of the equation. -1r + r = -4 + r Combine like terms: -1r + r = 0 0 = -4 + r Simplifying 0 = -4 + r 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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