2e^4x+3=15

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Solution for 2e^4x+3=15 equation:


Simplifying
2e4x + 3 = 15

Reorder the terms:
3 + 2e4x = 15

Solving
3 + 2e4x = 15

Solving for variable 'e'.

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

Add '-3' to each side of the equation.
3 + -3 + 2e4x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 2e4x = 15 + -3
2e4x = 15 + -3

Combine like terms: 15 + -3 = 12
2e4x = 12

Divide each side by '2x'.
e4 = 6x-1

Simplifying
e4 = 6x-1

Combine like terms: 6x-1 + -6x-1 = 0
e4 + -6x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -6) = 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 + -6)' equal to zero and attempt to solve: Simplifying e4x + -6 = 0 Reorder the terms: -6 + e4x = 0 Solving -6 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + e4x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + e4x = 0 + 6 e4x = 0 + 6 Combine like terms: 0 + 6 = 6 e4x = 6 Divide each side by 'x'. e4 = 6x-1 Simplifying e4 = 6x-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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