2e^3x-3=15

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Solution for 2e^3x-3=15 equation:


Simplifying
2e3x + -3 = 15

Reorder the terms:
-3 + 2e3x = 15

Solving
-3 + 2e3x = 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 + 2e3x = 15 + 3

Combine like terms: -3 + 3 = 0
0 + 2e3x = 15 + 3
2e3x = 15 + 3

Combine like terms: 15 + 3 = 18
2e3x = 18

Divide each side by '2x'.
e3 = 9x-1

Simplifying
e3 = 9x-1

Combine like terms: 9x-1 + -9x-1 = 0
e3 + -9x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -9) = 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 '(e3x + -9)' equal to zero and attempt to solve: Simplifying e3x + -9 = 0 Reorder the terms: -9 + e3x = 0 Solving -9 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + e3x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + e3x = 0 + 9 e3x = 0 + 9 Combine like terms: 0 + 9 = 9 e3x = 9 Divide each side by 'x'. e3 = 9x-1 Simplifying e3 = 9x-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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