Ae-Re=e

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Solution for Ae-Re=e equation:


Simplifying
Ae + -1Re = e

Solving
eA + -1eR = e

Solving for variable 'e'.

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

Add '-1e' to each side of the equation.
eA + -1e + -1eR = e + -1e

Reorder the terms:
-1e + eA + -1eR = e + -1e

Combine like terms: e + -1e = 0
-1e + eA + -1eR = 0

Factor out the Greatest Common Factor (GCF), 'e'.
e(-1 + A + -1R) = 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 '(-1 + A + -1R)' equal to zero and attempt to solve: Simplifying -1 + A + -1R = 0 Solving -1 + A + -1R = 0 Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + A + 1 + -1R = 0 + 1 Reorder the terms: -1 + 1 + A + -1R = 0 + 1 Combine like terms: -1 + 1 = 0 0 + A + -1R = 0 + 1 A + -1R = 0 + 1 Combine like terms: 0 + 1 = 1 A + -1R = 1 Add '-1A' to each side of the equation. A + -1A + -1R = 1 + -1A Combine like terms: A + -1A = 0 0 + -1R = 1 + -1A -1R = 1 + -1A Add 'R' to each side of the equation. -1R + R = 1 + -1A + R Combine like terms: -1R + R = 0 0 = 1 + -1A + R Simplifying 0 = 1 + -1A + R 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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