7e^3x+4=7

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Solution for 7e^3x+4=7 equation:


Simplifying
7e3x + 4 = 7

Reorder the terms:
4 + 7e3x = 7

Solving
4 + 7e3x = 7

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 + 7e3x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 7e3x = 7 + -4
7e3x = 7 + -4

Combine like terms: 7 + -4 = 3
7e3x = 3

Divide each side by '7x'.
e3 = 0.4285714286x-1

Simplifying
e3 = 0.4285714286x-1

Combine like terms: 0.4285714286x-1 + -0.4285714286x-1 = 0.0000000000
e3 + -0.4285714286x-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -0.4285714286) = 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 '(e3x + -0.4285714286)' equal to zero and attempt to solve: Simplifying e3x + -0.4285714286 = 0 Reorder the terms: -0.4285714286 + e3x = 0 Solving -0.4285714286 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '0.4285714286' to each side of the equation. -0.4285714286 + 0.4285714286 + e3x = 0 + 0.4285714286 Combine like terms: -0.4285714286 + 0.4285714286 = 0.0000000000 0.0000000000 + e3x = 0 + 0.4285714286 e3x = 0 + 0.4285714286 Combine like terms: 0 + 0.4285714286 = 0.4285714286 e3x = 0.4285714286 Divide each side by 'x'. e3 = 0.4285714286x-1 Simplifying e3 = 0.4285714286x-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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