3e^3x+5=6

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Solution for 3e^3x+5=6 equation:


Simplifying
3e3x + 5 = 6

Reorder the terms:
5 + 3e3x = 6

Solving
5 + 3e3x = 6

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 + 3e3x = 6 + -5

Combine like terms: 5 + -5 = 0
0 + 3e3x = 6 + -5
3e3x = 6 + -5

Combine like terms: 6 + -5 = 1
3e3x = 1

Divide each side by '3x'.
e3 = 0.3333333333x-1

Simplifying
e3 = 0.3333333333x-1

Combine like terms: 0.3333333333x-1 + -0.3333333333x-1 = 0.0000000000
e3 + -0.3333333333x-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -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 '(e3x + -0.3333333333)' equal to zero and attempt to solve: Simplifying e3x + -0.3333333333 = 0 Reorder the terms: -0.3333333333 + e3x = 0 Solving -0.3333333333 + e3x = 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 + e3x = 0 + 0.3333333333 Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000 0.0000000000 + e3x = 0 + 0.3333333333 e3x = 0 + 0.3333333333 Combine like terms: 0 + 0.3333333333 = 0.3333333333 e3x = 0.3333333333 Divide each side by 'x'. e3 = 0.3333333333x-1 Simplifying e3 = 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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