9e^2x-26=280

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Solution for 9e^2x-26=280 equation:


Simplifying
9e2x + -26 = 280

Reorder the terms:
-26 + 9e2x = 280

Solving
-26 + 9e2x = 280

Solving for variable 'e'.

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

Add '26' to each side of the equation.
-26 + 26 + 9e2x = 280 + 26

Combine like terms: -26 + 26 = 0
0 + 9e2x = 280 + 26
9e2x = 280 + 26

Combine like terms: 280 + 26 = 306
9e2x = 306

Divide each side by '9x'.
e2 = 34x-1

Simplifying
e2 = 34x-1

Combine like terms: 34x-1 + -34x-1 = 0
e2 + -34x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -34) = 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 '(e2x + -34)' equal to zero and attempt to solve: Simplifying e2x + -34 = 0 Reorder the terms: -34 + e2x = 0 Solving -34 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + e2x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + e2x = 0 + 34 e2x = 0 + 34 Combine like terms: 0 + 34 = 34 e2x = 34 Divide each side by 'x'. e2 = 34x-1 Simplifying e2 = 34x-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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