ex=pie

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Solution for ex=pie equation:


Simplifying
ex = pie

Solving
ex = eip

Solving for variable 'e'.

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

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

Combine like terms: eip + -1eip = 0
-1eip + ex = 0

Factor out the Greatest Common Factor (GCF), 'e'.
e(-1ip + x) = 0

Subproblem 1

Set the factor 'e' equal to zero and attempt to solve: Simplifying e = 0 Solving e = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e = 0

Subproblem 2

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

Solution

e = {0}

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