katie=sam

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Solution for katie=sam equation:


Simplifying
katie = sam

Solving
aeikt = ams

Solving for variable 'a'.

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

Add '-1ams' to each side of the equation.
aeikt + -1ams = ams + -1ams

Combine like terms: ams + -1ams = 0
aeikt + -1ams = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(eikt + -1ms) = 0

Subproblem 1

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

Subproblem 2

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

Solution

a = {0}

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