e(x^2)=e^4x

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Solution for e(x^2)=e^4x equation:


Simplifying
e(x2) = e4x

Multiply e * x2
ex2 = e4x

Solving
ex2 = e4x

Solving for variable 'e'.

Combine like terms: e4x + -1e4x = 0
ex2 + -1e4x = 0

Factor out the Greatest Common Factor (GCF), 'ex'.
ex(x + -1e3) = 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 '(x + -1e3)' equal to zero and attempt to solve: Simplifying x + -1e3 = 0 Reorder the terms: -1e3 + x = 0 Solving -1e3 + x = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x' to each side of the equation. -1e3 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -1e3 + 0 = 0 + -1x -1e3 = 0 + -1x Remove the zero: -1e3 = -1x Divide each side by '-1'. e3 = x Simplifying e3 = x 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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