3e^3x+6=66

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Solution for 3e^3x+6=66 equation:


Simplifying
3e3x + 6 = 66

Reorder the terms:
6 + 3e3x = 66

Solving
6 + 3e3x = 66

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 + 3e3x = 66 + -6

Combine like terms: 6 + -6 = 0
0 + 3e3x = 66 + -6
3e3x = 66 + -6

Combine like terms: 66 + -6 = 60
3e3x = 60

Divide each side by '3x'.
e3 = 20x-1

Simplifying
e3 = 20x-1

Combine like terms: 20x-1 + -20x-1 = 0
e3 + -20x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -20) = 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 + -20)' equal to zero and attempt to solve: Simplifying e3x + -20 = 0 Reorder the terms: -20 + e3x = 0 Solving -20 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + e3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + e3x = 0 + 20 e3x = 0 + 20 Combine like terms: 0 + 20 = 20 e3x = 20 Divide each side by 'x'. e3 = 20x-1 Simplifying e3 = 20x-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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