7=2e^7x

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Solution for 7=2e^7x equation:


Simplifying
7 = 2e7x

Solving
7 = 2e7x

Solving for variable 'e'.

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

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

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

Add '-7' to each side of the equation.
7 + -7 + -2e7x = 0 + -7

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

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

Divide each side by '-2x'.
e7 = 3.5x-1

Simplifying
e7 = 3.5x-1

Combine like terms: 3.5x-1 + -3.5x-1 = 0.0
e7 + -3.5x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e7x + -3.5) = 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 + -3.5)' equal to zero and attempt to solve: Simplifying e7x + -3.5 = 0 Reorder the terms: -3.5 + e7x = 0 Solving -3.5 + e7x = 0 Move all terms containing e to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + e7x = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + e7x = 0 + 3.5 e7x = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 e7x = 3.5 Divide each side by 'x'. e7 = 3.5x-1 Simplifying e7 = 3.5x-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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