7(e^9x+7)=9

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Solution for 7(e^9x+7)=9 equation:


Simplifying
7(e9x + 7) = 9

Reorder the terms:
7(7 + e9x) = 9
(7 * 7 + e9x * 7) = 9
(49 + 7e9x) = 9

Solving
49 + 7e9x = 9

Solving for variable 'e'.

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

Add '-49' to each side of the equation.
49 + -49 + 7e9x = 9 + -49

Combine like terms: 49 + -49 = 0
0 + 7e9x = 9 + -49
7e9x = 9 + -49

Combine like terms: 9 + -49 = -40
7e9x = -40

Divide each side by '7x'.
e9 = -5.714285714x-1

Simplifying
e9 = -5.714285714x-1

Combine like terms: -5.714285714x-1 + 5.714285714x-1 = 0.000000000
e9 + 5.714285714x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e9x + 5.714285714) = 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 '(e9x + 5.714285714)' equal to zero and attempt to solve: Simplifying e9x + 5.714285714 = 0 Reorder the terms: 5.714285714 + e9x = 0 Solving 5.714285714 + e9x = 0 Move all terms containing e to the left, all other terms to the right. Add '-5.714285714' to each side of the equation. 5.714285714 + -5.714285714 + e9x = 0 + -5.714285714 Combine like terms: 5.714285714 + -5.714285714 = 0.000000000 0.000000000 + e9x = 0 + -5.714285714 e9x = 0 + -5.714285714 Combine like terms: 0 + -5.714285714 = -5.714285714 e9x = -5.714285714 Divide each side by 'x'. e9 = -5.714285714x-1 Simplifying e9 = -5.714285714x-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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