4e^3x+3=8

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Solution for 4e^3x+3=8 equation:


Simplifying
4e3x + 3 = 8

Reorder the terms:
3 + 4e3x = 8

Solving
3 + 4e3x = 8

Solving for variable 'e'.

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

Add '-3' to each side of the equation.
3 + -3 + 4e3x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 4e3x = 8 + -3
4e3x = 8 + -3

Combine like terms: 8 + -3 = 5
4e3x = 5

Divide each side by '4x'.
e3 = 1.25x-1

Simplifying
e3 = 1.25x-1

Combine like terms: 1.25x-1 + -1.25x-1 = 0.00
e3 + -1.25x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -1.25) = 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 '(e3x + -1.25)' equal to zero and attempt to solve: Simplifying e3x + -1.25 = 0 Reorder the terms: -1.25 + e3x = 0 Solving -1.25 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + e3x = 0 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + e3x = 0 + 1.25 e3x = 0 + 1.25 Combine like terms: 0 + 1.25 = 1.25 e3x = 1.25 Divide each side by 'x'. e3 = 1.25x-1 Simplifying e3 = 1.25x-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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