4e^5x+4=24

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Solution for 4e^5x+4=24 equation:


Simplifying
4e5x + 4 = 24

Reorder the terms:
4 + 4e5x = 24

Solving
4 + 4e5x = 24

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 + 4e5x = 24 + -4

Combine like terms: 4 + -4 = 0
0 + 4e5x = 24 + -4
4e5x = 24 + -4

Combine like terms: 24 + -4 = 20
4e5x = 20

Divide each side by '4x'.
e5 = 5x-1

Simplifying
e5 = 5x-1

Combine like terms: 5x-1 + -5x-1 = 0
e5 + -5x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -5) = 0

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)' equal to zero and attempt to solve: Simplifying e5x + -5 = 0 Reorder the terms: -5 + e5x = 0 Solving -5 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + e5x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + e5x = 0 + 5 e5x = 0 + 5 Combine like terms: 0 + 5 = 5 e5x = 5 Divide each side by 'x'. e5 = 5x-1 Simplifying e5 = 5x-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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