2e^7x+7=6

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Solution for 2e^7x+7=6 equation:


Simplifying
2e7x + 7 = 6

Reorder the terms:
7 + 2e7x = 6

Solving
7 + 2e7x = 6

Solving for variable 'e'.

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

Add '-7' to each side of the equation.
7 + -7 + 2e7x = 6 + -7

Combine like terms: 7 + -7 = 0
0 + 2e7x = 6 + -7
2e7x = 6 + -7

Combine like terms: 6 + -7 = -1
2e7x = -1

Divide each side by '2x'.
e7 = -0.5x-1

Simplifying
e7 = -0.5x-1

Combine like terms: -0.5x-1 + 0.5x-1 = 0.0
e7 + 0.5x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e7x + 0.5) = 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 '(e7x + 0.5)' equal to zero and attempt to solve: Simplifying e7x + 0.5 = 0 Reorder the terms: 0.5 + e7x = 0 Solving 0.5 + e7x = 0 Move all terms containing e to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + e7x = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + e7x = 0 + -0.5 e7x = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 e7x = -0.5 Divide each side by 'x'. e7 = -0.5x-1 Simplifying e7 = -0.5x-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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