6*e^7x+8=19.9

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Solution for 6*e^7x+8=19.9 equation:


Simplifying
6e7x + 8 = 19.9

Reorder the terms:
8 + 6e7x = 19.9

Solving
8 + 6e7x = 19.9

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 + 6e7x = 19.9 + -8

Combine like terms: 8 + -8 = 0
0 + 6e7x = 19.9 + -8
6e7x = 19.9 + -8

Combine like terms: 19.9 + -8 = 11.9
6e7x = 11.9

Divide each side by '6x'.
e7 = 1.983333333x-1

Simplifying
e7 = 1.983333333x-1

Combine like terms: 1.983333333x-1 + -1.983333333x-1 = 0.000000000
e7 + -1.983333333x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e7x + -1.983333333) = 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 '(e7x + -1.983333333)' equal to zero and attempt to solve: Simplifying e7x + -1.983333333 = 0 Reorder the terms: -1.983333333 + e7x = 0 Solving -1.983333333 + e7x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.983333333' to each side of the equation. -1.983333333 + 1.983333333 + e7x = 0 + 1.983333333 Combine like terms: -1.983333333 + 1.983333333 = 0.000000000 0.000000000 + e7x = 0 + 1.983333333 e7x = 0 + 1.983333333 Combine like terms: 0 + 1.983333333 = 1.983333333 e7x = 1.983333333 Divide each side by 'x'. e7 = 1.983333333x-1 Simplifying e7 = 1.983333333x-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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