(5e^3x)-11=0

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Solution for (5e^3x)-11=0 equation:


Simplifying
(5e3x) + -11 = 0

Reorder the terms:
-11 + (5e3x) = 0

Solving
-11 + (5e3x) = 0

Solving for variable 'e'.

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

Add '11' to each side of the equation.
-11 + 11 + (5e3x) = 0 + 11

Combine like terms: -11 + 11 = 0
0 + (5e3x) = 0 + 11
(5e3x) = 0 + 11

Combine like terms: 0 + 11 = 11
(5e3x) = 11

Divide each side by '(5x)'.
e3 = 2.2x-1

Simplifying
e3 = 2.2x-1

Combine like terms: 2.2x-1 + -2.2x-1 = 0.0
e3 + -2.2x-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e3x + -2.2) = 0.0

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 + -2.2)' equal to zero and attempt to solve: Simplifying e3x + -2.2 = 0 Reorder the terms: -2.2 + e3x = 0 Solving -2.2 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '2.2' to each side of the equation. -2.2 + 2.2 + e3x = 0 + 2.2 Combine like terms: -2.2 + 2.2 = 0.0 0.0 + e3x = 0 + 2.2 e3x = 0 + 2.2 Combine like terms: 0 + 2.2 = 2.2 e3x = 2.2 Divide each side by 'x'. e3 = 2.2x-1 Simplifying e3 = 2.2x-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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