-2x=exp(x)

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Solution for -2x=exp(x) equation:


Simplifying
-2x = exp(x)

Multiply epx * x
-2x = epx2

Solving
-2x = epx2

Solving for variable 'x'.

Reorder the terms:
-1epx2 + -2x = epx2 + -1epx2

Combine like terms: epx2 + -1epx2 = 0
-1epx2 + -2x = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(epx + 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 '(epx + 2)' equal to zero and attempt to solve: Simplifying epx + 2 = 0 Reorder the terms: 2 + epx = 0 Solving 2 + epx = 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 + epx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + epx = 0 + -2 epx = 0 + -2 Combine like terms: 0 + -2 = -2 epx = -2 Divide each side by 'ep'. x = -2e-1p-1 Simplifying x = -2e-1p-1

Solution

x = {0, -2e-1p-1}

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