-2x=ex

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Solution for -2x=ex equation:


Simplifying
-2x = ex

Solving
-2x = ex

Solving for variable 'x'.

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

Add '-1ex' to each side of the equation.
-1ex + -2x = ex + -1ex

Combine like terms: ex + -1ex = 0
-1ex + -2x = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(e + 2) = 0

Ignore the factor -1.

Subproblem 1

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

Subproblem 2

Set the factor '(e + 2)' equal to zero and attempt to solve: Simplifying e + 2 = 0 Reorder the terms: 2 + e = 0 Solving 2 + e = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + e = 0 + -2 Combine like terms: 2 + -2 = 0 0 + e = 0 + -2 e = 0 + -2 Combine like terms: 0 + -2 = -2 e = -2 Add '-1e' to each side of the equation. e + -1e = -2 + -1e Combine like terms: e + -1e = 0 0 = -2 + -1e Simplifying 0 = -2 + -1e The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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