6-e^12x=52

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Solution for 6-e^12x=52 equation:


Simplifying
6 + -1e12x = 52

Solving
6 + -1e12x = 52

Solving for variable 'e'.

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

Add '-6' to each side of the equation.
6 + -6 + -1e12x = 52 + -6

Combine like terms: 6 + -6 = 0
0 + -1e12x = 52 + -6
-1e12x = 52 + -6

Combine like terms: 52 + -6 = 46
-1e12x = 46

Divide each side by '-1x'.
e12 = -46x-1

Simplifying
e12 = -46x-1

Combine like terms: -46x-1 + 46x-1 = 0
e12 + 46x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e12x + 46) = 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 '(e12x + 46)' equal to zero and attempt to solve: Simplifying e12x + 46 = 0 Reorder the terms: 46 + e12x = 0 Solving 46 + e12x = 0 Move all terms containing e to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + e12x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + e12x = 0 + -46 e12x = 0 + -46 Combine like terms: 0 + -46 = -46 e12x = -46 Divide each side by 'x'. e12 = -46x-1 Simplifying e12 = -46x-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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