4e^4x-9=16

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Solution for 4e^4x-9=16 equation:


Simplifying
4e4x + -9 = 16

Reorder the terms:
-9 + 4e4x = 16

Solving
-9 + 4e4x = 16

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 + 4e4x = 16 + 9

Combine like terms: -9 + 9 = 0
0 + 4e4x = 16 + 9
4e4x = 16 + 9

Combine like terms: 16 + 9 = 25
4e4x = 25

Divide each side by '4x'.
e4 = 6.25x-1

Simplifying
e4 = 6.25x-1

Combine like terms: 6.25x-1 + -6.25x-1 = 0.00
e4 + -6.25x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -6.25) = 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 '(e4x + -6.25)' equal to zero and attempt to solve: Simplifying e4x + -6.25 = 0 Reorder the terms: -6.25 + e4x = 0 Solving -6.25 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '6.25' to each side of the equation. -6.25 + 6.25 + e4x = 0 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + e4x = 0 + 6.25 e4x = 0 + 6.25 Combine like terms: 0 + 6.25 = 6.25 e4x = 6.25 Divide each side by 'x'. e4 = 6.25x-1 Simplifying e4 = 6.25x-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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