7e^4x+4=8

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Solution for 7e^4x+4=8 equation:


Simplifying
7e4x + 4 = 8

Reorder the terms:
4 + 7e4x = 8

Solving
4 + 7e4x = 8

Solving for variable 'e'.

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

Add '-4' to each side of the equation.
4 + -4 + 7e4x = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 7e4x = 8 + -4
7e4x = 8 + -4

Combine like terms: 8 + -4 = 4
7e4x = 4

Divide each side by '7x'.
e4 = 0.5714285714x-1

Simplifying
e4 = 0.5714285714x-1

Combine like terms: 0.5714285714x-1 + -0.5714285714x-1 = 0.0000000000
e4 + -0.5714285714x-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -0.5714285714) = 0.0000000000

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 + -0.5714285714)' equal to zero and attempt to solve: Simplifying e4x + -0.5714285714 = 0 Reorder the terms: -0.5714285714 + e4x = 0 Solving -0.5714285714 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '0.5714285714' to each side of the equation. -0.5714285714 + 0.5714285714 + e4x = 0 + 0.5714285714 Combine like terms: -0.5714285714 + 0.5714285714 = 0.0000000000 0.0000000000 + e4x = 0 + 0.5714285714 e4x = 0 + 0.5714285714 Combine like terms: 0 + 0.5714285714 = 0.5714285714 e4x = 0.5714285714 Divide each side by 'x'. e4 = 0.5714285714x-1 Simplifying e4 = 0.5714285714x-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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