e^3x-5=17

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Solution for e^3x-5=17 equation:


Simplifying
e3x + -5 = 17

Reorder the terms:
-5 + e3x = 17

Solving
-5 + e3x = 17

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 + e3x = 17 + 5

Combine like terms: -5 + 5 = 0
0 + e3x = 17 + 5
e3x = 17 + 5

Combine like terms: 17 + 5 = 22
e3x = 22

Divide each side by 'x'.
e3 = 22x-1

Simplifying
e3 = 22x-1

Combine like terms: 22x-1 + -22x-1 = 0
e3 + -22x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -22) = 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 + -22)' equal to zero and attempt to solve: Simplifying e3x + -22 = 0 Reorder the terms: -22 + e3x = 0 Solving -22 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + e3x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + e3x = 0 + 22 e3x = 0 + 22 Combine like terms: 0 + 22 = 22 e3x = 22 Divide each side by 'x'. e3 = 22x-1 Simplifying e3 = 22x-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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