9e^3x+2=54

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Solution for 9e^3x+2=54 equation:


Simplifying
9e3x + 2 = 54

Reorder the terms:
2 + 9e3x = 54

Solving
2 + 9e3x = 54

Solving for variable 'e'.

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

Add '-2' to each side of the equation.
2 + -2 + 9e3x = 54 + -2

Combine like terms: 2 + -2 = 0
0 + 9e3x = 54 + -2
9e3x = 54 + -2

Combine like terms: 54 + -2 = 52
9e3x = 52

Divide each side by '9x'.
e3 = 5.777777778x-1

Simplifying
e3 = 5.777777778x-1

Combine like terms: 5.777777778x-1 + -5.777777778x-1 = 0.000000000
e3 + -5.777777778x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -5.777777778) = 0.000000000

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 + -5.777777778)' equal to zero and attempt to solve: Simplifying e3x + -5.777777778 = 0 Reorder the terms: -5.777777778 + e3x = 0 Solving -5.777777778 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '5.777777778' to each side of the equation. -5.777777778 + 5.777777778 + e3x = 0 + 5.777777778 Combine like terms: -5.777777778 + 5.777777778 = 0.000000000 0.000000000 + e3x = 0 + 5.777777778 e3x = 0 + 5.777777778 Combine like terms: 0 + 5.777777778 = 5.777777778 e3x = 5.777777778 Divide each side by 'x'. e3 = 5.777777778x-1 Simplifying e3 = 5.777777778x-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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