9+e^2X=10

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Solution for 9+e^2X=10 equation:


Simplifying
9 + e2X = 10

Solving
9 + e2X = 10

Solving for variable 'e'.

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

Add '-9' to each side of the equation.
9 + -9 + e2X = 10 + -9

Combine like terms: 9 + -9 = 0
0 + e2X = 10 + -9
e2X = 10 + -9

Combine like terms: 10 + -9 = 1
e2X = 1

Divide each side by 'X'.
e2 = X-1

Simplifying
e2 = X-1

Reorder the terms:
-1X-1 + e2 = X-1 + -1X-1

Combine like terms: X-1 + -1X-1 = 0
-1X-1 + e2 = 0

Factor out the Greatest Common Factor (GCF), 'X-1'.
X-1(-1 + e2X) = 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 '(-1 + e2X)' equal to zero and attempt to solve: Simplifying -1 + e2X = 0 Solving -1 + e2X = 0 Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + e2X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + e2X = 0 + 1 e2X = 0 + 1 Combine like terms: 0 + 1 = 1 e2X = 1 Divide each side by 'X'. e2 = X-1 Simplifying e2 = X-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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