e^10x=4*e(-x)

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Solution for e^10x=4*e(-x) equation:


Simplifying
e10x = 4e(-1x)

Remove parenthesis around (-1x)
e10x = 4e * -1x

Reorder the terms for easier multiplication:
e10x = 4 * -1e * x

Multiply 4 * -1
e10x = -4e * x

Multiply e * x
e10x = -4ex

Solving
e10x = -4ex

Solving for variable 'e'.

Reorder the terms:
4ex + e10x = -4ex + 4ex

Combine like terms: -4ex + 4ex = 0
4ex + e10x = 0

Factor out the Greatest Common Factor (GCF), 'ex'.
ex(4 + e9) = 0

Subproblem 1

Set the factor 'ex' equal to zero and attempt to solve: Simplifying ex = 0 Solving ex = 0 Move all terms containing e to the left, all other terms to the right. Simplifying ex = 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 '(4 + e9)' equal to zero and attempt to solve: Simplifying 4 + e9 = 0 Solving 4 + e9 = 0 Move all terms containing e to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + e9 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + e9 = 0 + -4 e9 = 0 + -4 Combine like terms: 0 + -4 = -4 e9 = -4 Simplifying e9 = -4 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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