e^6x+2=0.62

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Solution for e^6x+2=0.62 equation:


Simplifying
e6x + 2 = 0.62

Reorder the terms:
2 + e6x = 0.62

Solving
2 + e6x = 0.62

Solving for variable 'e'.

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

Add '-2' to each side of the equation.
2 + -2 + e6x = 0.62 + -2

Combine like terms: 2 + -2 = 0
0 + e6x = 0.62 + -2
e6x = 0.62 + -2

Combine like terms: 0.62 + -2 = -1.38
e6x = -1.38

Divide each side by 'x'.
e6 = -1.38x-1

Simplifying
e6 = -1.38x-1

Combine like terms: -1.38x-1 + 1.38x-1 = 0.00
e6 + 1.38x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e6x + 1.38) = 0.00

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 + 1.38)' equal to zero and attempt to solve: Simplifying e6x + 1.38 = 0 Reorder the terms: 1.38 + e6x = 0 Solving 1.38 + e6x = 0 Move all terms containing e to the left, all other terms to the right. Add '-1.38' to each side of the equation. 1.38 + -1.38 + e6x = 0 + -1.38 Combine like terms: 1.38 + -1.38 = 0.00 0.00 + e6x = 0 + -1.38 e6x = 0 + -1.38 Combine like terms: 0 + -1.38 = -1.38 e6x = -1.38 Divide each side by 'x'. e6 = -1.38x-1 Simplifying e6 = -1.38x-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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