2e^5x+4=0.1

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Solution for 2e^5x+4=0.1 equation:


Simplifying
2e5x + 4 = 0.1

Reorder the terms:
4 + 2e5x = 0.1

Solving
4 + 2e5x = 0.1

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 + 2e5x = 0.1 + -4

Combine like terms: 4 + -4 = 0
0 + 2e5x = 0.1 + -4
2e5x = 0.1 + -4

Combine like terms: 0.1 + -4 = -3.9
2e5x = -3.9

Divide each side by '2x'.
e5 = -1.95x-1

Simplifying
e5 = -1.95x-1

Combine like terms: -1.95x-1 + 1.95x-1 = 0.00
e5 + 1.95x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + 1.95) = 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 + 1.95)' equal to zero and attempt to solve: Simplifying e5x + 1.95 = 0 Reorder the terms: 1.95 + e5x = 0 Solving 1.95 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '-1.95' to each side of the equation. 1.95 + -1.95 + e5x = 0 + -1.95 Combine like terms: 1.95 + -1.95 = 0.00 0.00 + e5x = 0 + -1.95 e5x = 0 + -1.95 Combine like terms: 0 + -1.95 = -1.95 e5x = -1.95 Divide each side by 'x'. e5 = -1.95x-1 Simplifying e5 = -1.95x-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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