2e^4s+5=25

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Solution for 2e^4s+5=25 equation:


Simplifying
2e4s + 5 = 25

Reorder the terms:
5 + 2e4s = 25

Solving
5 + 2e4s = 25

Solving for variable 'e'.

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

Add '-5' to each side of the equation.
5 + -5 + 2e4s = 25 + -5

Combine like terms: 5 + -5 = 0
0 + 2e4s = 25 + -5
2e4s = 25 + -5

Combine like terms: 25 + -5 = 20
2e4s = 20

Divide each side by '2s'.
e4 = 10s-1

Simplifying
e4 = 10s-1

Combine like terms: 10s-1 + -10s-1 = 0
e4 + -10s-1 = 0

Factor out the Greatest Common Factor (GCF), 's-1'.
s-1(e4s + -10) = 0

Subproblem 1

Set the factor 's-1' equal to zero and attempt to solve: Simplifying s-1 = 0 Solving s-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1s-1' to each side of the equation. s-1 + -1s-1 = 0 + -1s-1 Remove the zero: 0 = -1s-1 Simplifying 0 = -1s-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 '(e4s + -10)' equal to zero and attempt to solve: Simplifying e4s + -10 = 0 Reorder the terms: -10 + e4s = 0 Solving -10 + e4s = 0 Move all terms containing e to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + e4s = 0 + 10 Combine like terms: -10 + 10 = 0 0 + e4s = 0 + 10 e4s = 0 + 10 Combine like terms: 0 + 10 = 10 e4s = 10 Divide each side by 's'. e4 = 10s-1 Simplifying e4 = 10s-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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