8e^4x+5=22

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Solution for 8e^4x+5=22 equation:


Simplifying
8e4x + 5 = 22

Reorder the terms:
5 + 8e4x = 22

Solving
5 + 8e4x = 22

Solving for variable 'e'.

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

Add '-5' to each side of the equation.
5 + -5 + 8e4x = 22 + -5

Combine like terms: 5 + -5 = 0
0 + 8e4x = 22 + -5
8e4x = 22 + -5

Combine like terms: 22 + -5 = 17
8e4x = 17

Divide each side by '8x'.
e4 = 2.125x-1

Simplifying
e4 = 2.125x-1

Combine like terms: 2.125x-1 + -2.125x-1 = 0.000
e4 + -2.125x-1 = 0.000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -2.125) = 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 + -2.125)' equal to zero and attempt to solve: Simplifying e4x + -2.125 = 0 Reorder the terms: -2.125 + e4x = 0 Solving -2.125 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '2.125' to each side of the equation. -2.125 + 2.125 + e4x = 0 + 2.125 Combine like terms: -2.125 + 2.125 = 0.000 0.000 + e4x = 0 + 2.125 e4x = 0 + 2.125 Combine like terms: 0 + 2.125 = 2.125 e4x = 2.125 Divide each side by 'x'. e4 = 2.125x-1 Simplifying e4 = 2.125x-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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