7e^2x+10=29

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Solution for 7e^2x+10=29 equation:


Simplifying
7e2x + 10 = 29

Reorder the terms:
10 + 7e2x = 29

Solving
10 + 7e2x = 29

Solving for variable 'e'.

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

Add '-10' to each side of the equation.
10 + -10 + 7e2x = 29 + -10

Combine like terms: 10 + -10 = 0
0 + 7e2x = 29 + -10
7e2x = 29 + -10

Combine like terms: 29 + -10 = 19
7e2x = 19

Divide each side by '7x'.
e2 = 2.714285714x-1

Simplifying
e2 = 2.714285714x-1

Combine like terms: 2.714285714x-1 + -2.714285714x-1 = 0.000000000
e2 + -2.714285714x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e2x + -2.714285714) = 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 '(e2x + -2.714285714)' equal to zero and attempt to solve: Simplifying e2x + -2.714285714 = 0 Reorder the terms: -2.714285714 + e2x = 0 Solving -2.714285714 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '2.714285714' to each side of the equation. -2.714285714 + 2.714285714 + e2x = 0 + 2.714285714 Combine like terms: -2.714285714 + 2.714285714 = 0.000000000 0.000000000 + e2x = 0 + 2.714285714 e2x = 0 + 2.714285714 Combine like terms: 0 + 2.714285714 = 2.714285714 e2x = 2.714285714 Divide each side by 'x'. e2 = 2.714285714x-1 Simplifying e2 = 2.714285714x-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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