3e^4x-7=12

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Solution for 3e^4x-7=12 equation:


Simplifying
3e4x + -7 = 12

Reorder the terms:
-7 + 3e4x = 12

Solving
-7 + 3e4x = 12

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 + 3e4x = 12 + 7

Combine like terms: -7 + 7 = 0
0 + 3e4x = 12 + 7
3e4x = 12 + 7

Combine like terms: 12 + 7 = 19
3e4x = 19

Divide each side by '3x'.
e4 = 6.333333333x-1

Simplifying
e4 = 6.333333333x-1

Combine like terms: 6.333333333x-1 + -6.333333333x-1 = 0.000000000
e4 + -6.333333333x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -6.333333333) = 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 '(e4x + -6.333333333)' equal to zero and attempt to solve: Simplifying e4x + -6.333333333 = 0 Reorder the terms: -6.333333333 + e4x = 0 Solving -6.333333333 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '6.333333333' to each side of the equation. -6.333333333 + 6.333333333 + e4x = 0 + 6.333333333 Combine like terms: -6.333333333 + 6.333333333 = 0.000000000 0.000000000 + e4x = 0 + 6.333333333 e4x = 0 + 6.333333333 Combine like terms: 0 + 6.333333333 = 6.333333333 e4x = 6.333333333 Divide each side by 'x'. e4 = 6.333333333x-1 Simplifying e4 = 6.333333333x-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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