e^4x-26=-27

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Solution for e^4x-26=-27 equation:


Simplifying
e4x + -26 = -27

Reorder the terms:
-26 + e4x = -27

Solving
-26 + e4x = -27

Solving for variable 'e'.

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

Add '26' to each side of the equation.
-26 + 26 + e4x = -27 + 26

Combine like terms: -26 + 26 = 0
0 + e4x = -27 + 26
e4x = -27 + 26

Combine like terms: -27 + 26 = -1
e4x = -1

Divide each side by 'x'.
e4 = -1x-1

Simplifying
e4 = -1x-1

Combine like terms: -1x-1 + x-1 = 0
e4 + x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + 1) = 0

Subproblem 1

Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-1 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 '(e4x + 1)' equal to zero and attempt to solve: Simplifying e4x + 1 = 0 Reorder the terms: 1 + e4x = 0 Solving 1 + e4x = 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 + e4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + e4x = 0 + -1 e4x = 0 + -1 Combine like terms: 0 + -1 = -1 e4x = -1 Divide each side by 'x'. e4 = -1x-1 Simplifying e4 = -1x-1 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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