8e^4x+12=25

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Solution for 8e^4x+12=25 equation:


Simplifying
8e4x + 12 = 25

Reorder the terms:
12 + 8e4x = 25

Solving
12 + 8e4x = 25

Solving for variable 'e'.

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

Add '-12' to each side of the equation.
12 + -12 + 8e4x = 25 + -12

Combine like terms: 12 + -12 = 0
0 + 8e4x = 25 + -12
8e4x = 25 + -12

Combine like terms: 25 + -12 = 13
8e4x = 13

Divide each side by '8x'.
e4 = 1.625x-1

Simplifying
e4 = 1.625x-1

Combine like terms: 1.625x-1 + -1.625x-1 = 0.000
e4 + -1.625x-1 = 0.000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -1.625) = 0.000

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 + -1.625)' equal to zero and attempt to solve: Simplifying e4x + -1.625 = 0 Reorder the terms: -1.625 + e4x = 0 Solving -1.625 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.625' to each side of the equation. -1.625 + 1.625 + e4x = 0 + 1.625 Combine like terms: -1.625 + 1.625 = 0.000 0.000 + e4x = 0 + 1.625 e4x = 0 + 1.625 Combine like terms: 0 + 1.625 = 1.625 e4x = 1.625 Divide each side by 'x'. e4 = 1.625x-1 Simplifying e4 = 1.625x-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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