121pie=pier^2

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Solution for 121pie=pier^2 equation:


Simplifying
121pie = pier2

Solving
121eip = eipr2

Solving for variable 'e'.

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

Add '-1eipr2' to each side of the equation.
121eip + -1eipr2 = eipr2 + -1eipr2

Combine like terms: eipr2 + -1eipr2 = 0
121eip + -1eipr2 = 0

Factor out the Greatest Common Factor (GCF), 'eip'.
eip(121 + -1r2) = 0

Factor a difference between two squares.
eip((11 + r)(11 + -1r)) = 0

Subproblem 1

Set the factor 'eip' equal to zero and attempt to solve: Simplifying eip = 0 Solving eip = 0 Move all terms containing e to the left, all other terms to the right. Simplifying eip = 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 '(11 + r)' equal to zero and attempt to solve: Simplifying 11 + r = 0 Solving 11 + r = 0 Move all terms containing e to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + r = 0 + -11 r = 0 + -11 Combine like terms: 0 + -11 = -11 r = -11 Add '-1r' to each side of the equation. r + -1r = -11 + -1r Combine like terms: r + -1r = 0 0 = -11 + -1r Simplifying 0 = -11 + -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 '(11 + -1r)' equal to zero and attempt to solve: Simplifying 11 + -1r = 0 Solving 11 + -1r = 0 Move all terms containing e to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1r = 0 + -11 -1r = 0 + -11 Combine like terms: 0 + -11 = -11 -1r = -11 Add 'r' to each side of the equation. -1r + r = -11 + r Combine like terms: -1r + r = 0 0 = -11 + r Simplifying 0 = -11 + 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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