3e^5x+4=6

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Solution for 3e^5x+4=6 equation:


Simplifying
3e5x + 4 = 6

Reorder the terms:
4 + 3e5x = 6

Solving
4 + 3e5x = 6

Solving for variable 'e'.

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

Add '-4' to each side of the equation.
4 + -4 + 3e5x = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 3e5x = 6 + -4
3e5x = 6 + -4

Combine like terms: 6 + -4 = 2
3e5x = 2

Divide each side by '3x'.
e5 = 0.6666666667x-1

Simplifying
e5 = 0.6666666667x-1

Combine like terms: 0.6666666667x-1 + -0.6666666667x-1 = 0.0000000000
e5 + -0.6666666667x-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -0.6666666667) = 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 '(e5x + -0.6666666667)' equal to zero and attempt to solve: Simplifying e5x + -0.6666666667 = 0 Reorder the terms: -0.6666666667 + e5x = 0 Solving -0.6666666667 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '0.6666666667' to each side of the equation. -0.6666666667 + 0.6666666667 + e5x = 0 + 0.6666666667 Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000 0.0000000000 + e5x = 0 + 0.6666666667 e5x = 0 + 0.6666666667 Combine like terms: 0 + 0.6666666667 = 0.6666666667 e5x = 0.6666666667 Divide each side by 'x'. e5 = 0.6666666667x-1 Simplifying e5 = 0.6666666667x-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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