4e^3X-8=-6

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Solution for 4e^3X-8=-6 equation:


Simplifying
4e3X + -8 = -6

Reorder the terms:
-8 + 4e3X = -6

Solving
-8 + 4e3X = -6

Solving for variable 'e'.

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

Add '8' to each side of the equation.
-8 + 8 + 4e3X = -6 + 8

Combine like terms: -8 + 8 = 0
0 + 4e3X = -6 + 8
4e3X = -6 + 8

Combine like terms: -6 + 8 = 2
4e3X = 2

Divide each side by '4X'.
e3 = 0.5X-1

Simplifying
e3 = 0.5X-1

Reorder the terms:
-0.5X-1 + e3 = 0.5X-1 + -0.5X-1

Combine like terms: 0.5X-1 + -0.5X-1 = 0.0
-0.5X-1 + e3 = 0.0

Factor out the Greatest Common Factor (GCF), 'X-1'.
X-1(-0.5 + e3X) = 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 '(-0.5 + e3X)' equal to zero and attempt to solve: Simplifying -0.5 + e3X = 0 Solving -0.5 + e3X = 0 Move all terms containing e to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + e3X = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + e3X = 0 + 0.5 e3X = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 e3X = 0.5 Divide each side by 'X'. e3 = 0.5X-1 Simplifying e3 = 0.5X-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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