3e^2x-5=-4

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Solution for 3e^2x-5=-4 equation:


Simplifying
3e2x + -5 = -4

Reorder the terms:
-5 + 3e2x = -4

Solving
-5 + 3e2x = -4

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 + 3e2x = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 3e2x = -4 + 5
3e2x = -4 + 5

Combine like terms: -4 + 5 = 1
3e2x = 1

Divide each side by '3x'.
e2 = 0.3333333333x-1

Simplifying
e2 = 0.3333333333x-1

Combine like terms: 0.3333333333x-1 + -0.3333333333x-1 = 0.0000000000
e2 + -0.3333333333x-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -0.3333333333) = 0.0000000000

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 '(e2x + -0.3333333333)' equal to zero and attempt to solve: Simplifying e2x + -0.3333333333 = 0 Reorder the terms: -0.3333333333 + e2x = 0 Solving -0.3333333333 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '0.3333333333' to each side of the equation. -0.3333333333 + 0.3333333333 + e2x = 0 + 0.3333333333 Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000 0.0000000000 + e2x = 0 + 0.3333333333 e2x = 0 + 0.3333333333 Combine like terms: 0 + 0.3333333333 = 0.3333333333 e2x = 0.3333333333 Divide each side by 'x'. e2 = 0.3333333333x-1 Simplifying e2 = 0.3333333333x-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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