55e^4x-7=29

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Solution for 55e^4x-7=29 equation:


Simplifying
55e4x + -7 = 29

Reorder the terms:
-7 + 55e4x = 29

Solving
-7 + 55e4x = 29

Solving for variable 'e'.

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

Add '7' to each side of the equation.
-7 + 7 + 55e4x = 29 + 7

Combine like terms: -7 + 7 = 0
0 + 55e4x = 29 + 7
55e4x = 29 + 7

Combine like terms: 29 + 7 = 36
55e4x = 36

Divide each side by '55x'.
e4 = 0.6545454545x-1

Simplifying
e4 = 0.6545454545x-1

Combine like terms: 0.6545454545x-1 + -0.6545454545x-1 = 0.0000000000
e4 + -0.6545454545x-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -0.6545454545) = 0.0000000000

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 + -0.6545454545)' equal to zero and attempt to solve: Simplifying e4x + -0.6545454545 = 0 Reorder the terms: -0.6545454545 + e4x = 0 Solving -0.6545454545 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '0.6545454545' to each side of the equation. -0.6545454545 + 0.6545454545 + e4x = 0 + 0.6545454545 Combine like terms: -0.6545454545 + 0.6545454545 = 0.0000000000 0.0000000000 + e4x = 0 + 0.6545454545 e4x = 0 + 0.6545454545 Combine like terms: 0 + 0.6545454545 = 0.6545454545 e4x = 0.6545454545 Divide each side by 'x'. e4 = 0.6545454545x-1 Simplifying e4 = 0.6545454545x-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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