5e^3x-4=25

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Solution for 5e^3x-4=25 equation:


Simplifying
5e3x + -4 = 25

Reorder the terms:
-4 + 5e3x = 25

Solving
-4 + 5e3x = 25

Solving for variable 'e'.

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

Add '4' to each side of the equation.
-4 + 4 + 5e3x = 25 + 4

Combine like terms: -4 + 4 = 0
0 + 5e3x = 25 + 4
5e3x = 25 + 4

Combine like terms: 25 + 4 = 29
5e3x = 29

Divide each side by '5x'.
e3 = 5.8x-1

Simplifying
e3 = 5.8x-1

Combine like terms: 5.8x-1 + -5.8x-1 = 0.0
e3 + -5.8x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -5.8) = 0.0

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 '(e3x + -5.8)' equal to zero and attempt to solve: Simplifying e3x + -5.8 = 0 Reorder the terms: -5.8 + e3x = 0 Solving -5.8 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '5.8' to each side of the equation. -5.8 + 5.8 + e3x = 0 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + e3x = 0 + 5.8 e3x = 0 + 5.8 Combine like terms: 0 + 5.8 = 5.8 e3x = 5.8 Divide each side by 'x'. e3 = 5.8x-1 Simplifying e3 = 5.8x-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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