8e^4x+4=18

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Solution for 8e^4x+4=18 equation:


Simplifying
8e4x + 4 = 18

Reorder the terms:
4 + 8e4x = 18

Solving
4 + 8e4x = 18

Solving for variable 'e'.

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

Add '-4' to each side of the equation.
4 + -4 + 8e4x = 18 + -4

Combine like terms: 4 + -4 = 0
0 + 8e4x = 18 + -4
8e4x = 18 + -4

Combine like terms: 18 + -4 = 14
8e4x = 14

Divide each side by '8x'.
e4 = 1.75x-1

Simplifying
e4 = 1.75x-1

Combine like terms: 1.75x-1 + -1.75x-1 = 0.00
e4 + -1.75x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -1.75) = 0.00

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 + -1.75)' equal to zero and attempt to solve: Simplifying e4x + -1.75 = 0 Reorder the terms: -1.75 + e4x = 0 Solving -1.75 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + e4x = 0 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + e4x = 0 + 1.75 e4x = 0 + 1.75 Combine like terms: 0 + 1.75 = 1.75 e4x = 1.75 Divide each side by 'x'. e4 = 1.75x-1 Simplifying e4 = 1.75x-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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