4e^3x+6=24

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Solution for 4e^3x+6=24 equation:


Simplifying
4e3x + 6 = 24

Reorder the terms:
6 + 4e3x = 24

Solving
6 + 4e3x = 24

Solving for variable 'e'.

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

Add '-6' to each side of the equation.
6 + -6 + 4e3x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 4e3x = 24 + -6
4e3x = 24 + -6

Combine like terms: 24 + -6 = 18
4e3x = 18

Divide each side by '4x'.
e3 = 4.5x-1

Simplifying
e3 = 4.5x-1

Combine like terms: 4.5x-1 + -4.5x-1 = 0.0
e3 + -4.5x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -4.5) = 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 + -4.5)' equal to zero and attempt to solve: Simplifying e3x + -4.5 = 0 Reorder the terms: -4.5 + e3x = 0 Solving -4.5 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + e3x = 0 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + e3x = 0 + 4.5 e3x = 0 + 4.5 Combine like terms: 0 + 4.5 = 4.5 e3x = 4.5 Divide each side by 'x'. e3 = 4.5x-1 Simplifying e3 = 4.5x-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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