7-2e^2x=7.1

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Solution for 7-2e^2x=7.1 equation:


Simplifying
7 + -2e2x = 7.1

Solving
7 + -2e2x = 7.1

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 + -2e2x = 7.1 + -7

Combine like terms: 7 + -7 = 0
0 + -2e2x = 7.1 + -7
-2e2x = 7.1 + -7

Combine like terms: 7.1 + -7 = 0.1
-2e2x = 0.1

Divide each side by '-2x'.
e2 = -0.05x-1

Simplifying
e2 = -0.05x-1

Combine like terms: -0.05x-1 + 0.05x-1 = 0.00
e2 + 0.05x-1 = 0.00

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + 0.05) = 0.00

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 '(e2x + 0.05)' equal to zero and attempt to solve: Simplifying e2x + 0.05 = 0 Reorder the terms: 0.05 + e2x = 0 Solving 0.05 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '-0.05' to each side of the equation. 0.05 + -0.05 + e2x = 0 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + e2x = 0 + -0.05 e2x = 0 + -0.05 Combine like terms: 0 + -0.05 = -0.05 e2x = -0.05 Divide each side by 'x'. e2 = -0.05x-1 Simplifying e2 = -0.05x-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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