3e^6x+5=12

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Solution for 3e^6x+5=12 equation:


Simplifying
3e6x + 5 = 12

Reorder the terms:
5 + 3e6x = 12

Solving
5 + 3e6x = 12

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 + 3e6x = 12 + -5

Combine like terms: 5 + -5 = 0
0 + 3e6x = 12 + -5
3e6x = 12 + -5

Combine like terms: 12 + -5 = 7
3e6x = 7

Divide each side by '3x'.
e6 = 2.333333333x-1

Simplifying
e6 = 2.333333333x-1

Combine like terms: 2.333333333x-1 + -2.333333333x-1 = 0.000000000
e6 + -2.333333333x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e6x + -2.333333333) = 0.000000000

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 '(e6x + -2.333333333)' equal to zero and attempt to solve: Simplifying e6x + -2.333333333 = 0 Reorder the terms: -2.333333333 + e6x = 0 Solving -2.333333333 + e6x = 0 Move all terms containing e to the left, all other terms to the right. Add '2.333333333' to each side of the equation. -2.333333333 + 2.333333333 + e6x = 0 + 2.333333333 Combine like terms: -2.333333333 + 2.333333333 = 0.000000000 0.000000000 + e6x = 0 + 2.333333333 e6x = 0 + 2.333333333 Combine like terms: 0 + 2.333333333 = 2.333333333 e6x = 2.333333333 Divide each side by 'x'. e6 = 2.333333333x-1 Simplifying e6 = 2.333333333x-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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