7e^4x+2=56

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Solution for 7e^4x+2=56 equation:


Simplifying
7e4x + 2 = 56

Reorder the terms:
2 + 7e4x = 56

Solving
2 + 7e4x = 56

Solving for variable 'e'.

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

Add '-2' to each side of the equation.
2 + -2 + 7e4x = 56 + -2

Combine like terms: 2 + -2 = 0
0 + 7e4x = 56 + -2
7e4x = 56 + -2

Combine like terms: 56 + -2 = 54
7e4x = 54

Divide each side by '7x'.
e4 = 7.714285714x-1

Simplifying
e4 = 7.714285714x-1

Combine like terms: 7.714285714x-1 + -7.714285714x-1 = 0.000000000
e4 + -7.714285714x-1 = 0.000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e4x + -7.714285714) = 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 '(e4x + -7.714285714)' equal to zero and attempt to solve: Simplifying e4x + -7.714285714 = 0 Reorder the terms: -7.714285714 + e4x = 0 Solving -7.714285714 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '7.714285714' to each side of the equation. -7.714285714 + 7.714285714 + e4x = 0 + 7.714285714 Combine like terms: -7.714285714 + 7.714285714 = 0.000000000 0.000000000 + e4x = 0 + 7.714285714 e4x = 0 + 7.714285714 Combine like terms: 0 + 7.714285714 = 7.714285714 e4x = 7.714285714 Divide each side by 'x'. e4 = 7.714285714x-1 Simplifying e4 = 7.714285714x-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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