e^5x+6=.62

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Solution for e^5x+6=.62 equation:


Simplifying
e5x + 6 = 0.62

Reorder the terms:
6 + e5x = 0.62

Solving
6 + e5x = 0.62

Solving for variable 'e'.

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

Add '-6' to each side of the equation.
6 + -6 + e5x = 0.62 + -6

Combine like terms: 6 + -6 = 0
0 + e5x = 0.62 + -6
e5x = 0.62 + -6

Combine like terms: 0.62 + -6 = -5.38
e5x = -5.38

Divide each side by 'x'.
e5 = -5.38x-1

Simplifying
e5 = -5.38x-1

Combine like terms: -5.38x-1 + 5.38x-1 = 0.00
e5 + 5.38x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + 5.38) = 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 '(e5x + 5.38)' equal to zero and attempt to solve: Simplifying e5x + 5.38 = 0 Reorder the terms: 5.38 + e5x = 0 Solving 5.38 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '-5.38' to each side of the equation. 5.38 + -5.38 + e5x = 0 + -5.38 Combine like terms: 5.38 + -5.38 = 0.00 0.00 + e5x = 0 + -5.38 e5x = 0 + -5.38 Combine like terms: 0 + -5.38 = -5.38 e5x = -5.38 Divide each side by 'x'. e5 = -5.38x-1 Simplifying e5 = -5.38x-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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