4e^3x+1=0

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Solution for 4e^3x+1=0 equation:


Simplifying
4e3x + 1 = 0

Reorder the terms:
1 + 4e3x = 0

Solving
1 + 4e3x = 0

Solving for variable 'e'.

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

Add '-1' to each side of the equation.
1 + -1 + 4e3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4e3x = 0 + -1
4e3x = 0 + -1

Combine like terms: 0 + -1 = -1
4e3x = -1

Divide each side by '4x'.
e3 = -0.25x-1

Simplifying
e3 = -0.25x-1

Combine like terms: -0.25x-1 + 0.25x-1 = 0.00
e3 + 0.25x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + 0.25) = 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 + 0.25)' equal to zero and attempt to solve: Simplifying e3x + 0.25 = 0 Reorder the terms: 0.25 + e3x = 0 Solving 0.25 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + e3x = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + e3x = 0 + -0.25 e3x = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 e3x = -0.25 Divide each side by 'x'. e3 = -0.25x-1 Simplifying e3 = -0.25x-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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