2x*e^2x-2*e^2*x=0

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Solution for 2x*e^2x-2*e^2*x=0 equation:


Simplifying
2x * e2x + -2e2 * x = 0

Multiply x * e2x
2e2x2 + -2e2 * x = 0

Multiply e2 * x
2e2x2 + -2e2x = 0

Reorder the terms:
-2e2x + 2e2x2 = 0

Solving
-2e2x + 2e2x2 = 0

Solving for variable 'e'.

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

Factor out the Greatest Common Factor (GCF), '2e2x'.
2e2x(-1 + x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'e2x' equal to zero and attempt to solve: Simplifying e2x = 0 Solving e2x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e2x = 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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -1x 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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