4e^5x+1=8

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Solution for 4e^5x+1=8 equation:


Simplifying
4e5x + 1 = 8

Reorder the terms:
1 + 4e5x = 8

Solving
1 + 4e5x = 8

Solving for variable 'e'.

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

Add '-1' to each side of the equation.
1 + -1 + 4e5x = 8 + -1

Combine like terms: 1 + -1 = 0
0 + 4e5x = 8 + -1
4e5x = 8 + -1

Combine like terms: 8 + -1 = 7
4e5x = 7

Divide each side by '4x'.
e5 = 1.75x-1

Simplifying
e5 = 1.75x-1

Combine like terms: 1.75x-1 + -1.75x-1 = 0.00
e5 + -1.75x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -1.75) = 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 + -1.75)' equal to zero and attempt to solve: Simplifying e5x + -1.75 = 0 Reorder the terms: -1.75 + e5x = 0 Solving -1.75 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + e5x = 0 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + e5x = 0 + 1.75 e5x = 0 + 1.75 Combine like terms: 0 + 1.75 = 1.75 e5x = 1.75 Divide each side by 'x'. e5 = 1.75x-1 Simplifying e5 = 1.75x-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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