3e^6x+7=6

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Solution for 3e^6x+7=6 equation:


Simplifying
3e6x + 7 = 6

Reorder the terms:
7 + 3e6x = 6

Solving
7 + 3e6x = 6

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 3e6x = 6 + -7

Combine like terms: 7 + -7 = 0
0 + 3e6x = 6 + -7
3e6x = 6 + -7

Combine like terms: 6 + -7 = -1
3e6x = -1

Divide each side by '3x'.
e6 = -0.3333333333x-1

Simplifying
e6 = -0.3333333333x-1

Combine like terms: -0.3333333333x-1 + 0.3333333333x-1 = 0.0000000000
e6 + 0.3333333333x-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e6x + 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 '(e6x + 0.3333333333)' equal to zero and attempt to solve: Simplifying e6x + 0.3333333333 = 0 Reorder the terms: 0.3333333333 + e6x = 0 Solving 0.3333333333 + e6x = 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 + e6x = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + e6x = 0 + -0.3333333333 e6x = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 e6x = -0.3333333333 Divide each side by 'x'. e6 = -0.3333333333x-1 Simplifying e6 = -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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