7e^6x+7=3

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Solution for 7e^6x+7=3 equation:


Simplifying
7e6x + 7 = 3

Reorder the terms:
7 + 7e6x = 3

Solving
7 + 7e6x = 3

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 + 7e6x = 3 + -7

Combine like terms: 7 + -7 = 0
0 + 7e6x = 3 + -7
7e6x = 3 + -7

Combine like terms: 3 + -7 = -4
7e6x = -4

Divide each side by '7x'.
e6 = -0.5714285714x-1

Simplifying
e6 = -0.5714285714x-1

Combine like terms: -0.5714285714x-1 + 0.5714285714x-1 = 0.0000000000
e6 + 0.5714285714x-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e6x + 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 '(e6x + 0.5714285714)' equal to zero and attempt to solve: Simplifying e6x + 0.5714285714 = 0 Reorder the terms: 0.5714285714 + e6x = 0 Solving 0.5714285714 + e6x = 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 + e6x = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + e6x = 0 + -0.5714285714 e6x = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 e6x = -0.5714285714 Divide each side by 'x'. e6 = -0.5714285714x-1 Simplifying e6 = -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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