7e^5x+8=.23

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Solution for 7e^5x+8=.23 equation:


Simplifying
7e5x + 8 = 0.23

Reorder the terms:
8 + 7e5x = 0.23

Solving
8 + 7e5x = 0.23

Solving for variable 'e'.

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

Add '-8' to each side of the equation.
8 + -8 + 7e5x = 0.23 + -8

Combine like terms: 8 + -8 = 0
0 + 7e5x = 0.23 + -8
7e5x = 0.23 + -8

Combine like terms: 0.23 + -8 = -7.77
7e5x = -7.77

Divide each side by '7x'.
e5 = -1.11x-1

Simplifying
e5 = -1.11x-1

Combine like terms: -1.11x-1 + 1.11x-1 = 0.00
e5 + 1.11x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + 1.11) = 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 + 1.11)' equal to zero and attempt to solve: Simplifying e5x + 1.11 = 0 Reorder the terms: 1.11 + e5x = 0 Solving 1.11 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '-1.11' to each side of the equation. 1.11 + -1.11 + e5x = 0 + -1.11 Combine like terms: 1.11 + -1.11 = 0.00 0.00 + e5x = 0 + -1.11 e5x = 0 + -1.11 Combine like terms: 0 + -1.11 = -1.11 e5x = -1.11 Divide each side by 'x'. e5 = -1.11x-1 Simplifying e5 = -1.11x-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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