1756=4e^3x

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Solution for 1756=4e^3x equation:


Simplifying
1756 = 4e3x

Solving
1756 = 4e3x

Solving for variable 'e'.

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

Add '-4e3x' to each side of the equation.
1756 + -4e3x = 4e3x + -4e3x

Combine like terms: 4e3x + -4e3x = 0
1756 + -4e3x = 0

Add '-1756' to each side of the equation.
1756 + -1756 + -4e3x = 0 + -1756

Combine like terms: 1756 + -1756 = 0
0 + -4e3x = 0 + -1756
-4e3x = 0 + -1756

Combine like terms: 0 + -1756 = -1756
-4e3x = -1756

Divide each side by '-4x'.
e3 = 439x-1

Simplifying
e3 = 439x-1

Combine like terms: 439x-1 + -439x-1 = 0
e3 + -439x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -439) = 0

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 + -439)' equal to zero and attempt to solve: Simplifying e3x + -439 = 0 Reorder the terms: -439 + e3x = 0 Solving -439 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '439' to each side of the equation. -439 + 439 + e3x = 0 + 439 Combine like terms: -439 + 439 = 0 0 + e3x = 0 + 439 e3x = 0 + 439 Combine like terms: 0 + 439 = 439 e3x = 439 Divide each side by 'x'. e3 = 439x-1 Simplifying e3 = 439x-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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