3lx-2l+1=1

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Solution for 3lx-2l+1=1 equation: 


Simplifying
3lx + -2l + 1 = 1

Reorder the terms:
1 + -2l + 3lx = 1

Add '-1' to each side of the equation.
1 + -2l + -1 + 3lx = 1 + -1

Reorder the terms:
1 + -1 + -2l + 3lx = 1 + -1

Combine like terms: 1 + -1 = 0
0 + -2l + 3lx = 1 + -1
-2l + 3lx = 1 + -1

Combine like terms: 1 + -1 = 0
-2l + 3lx = 0

Solving
-2l + 3lx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'l'.
l(-2 + 3x) = 0


Subproblem 1
Set the factor 'l' equal to zero and attempt to solve:

Simplifying
l = 0

Solving
l = 0

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

Simplifying
l = 0

Subproblem 2
Set the factor '(-2 + 3x)' equal to zero and attempt to solve:

Simplifying
-2 + 3x = 0

Solving
-2 + 3x = 0

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

Add '2' to each side of the equation.
-2 + 2 + 3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 0 + 2
3x = 0 + 2

Combine like terms: 0 + 2 = 2
3x = 2

Add '-3x' to each side of the equation.
3x + -3x = 2 + -3x

Combine like terms: 3x + -3x = 0
0 = 2 + -3x

Simplifying
0 = 2 + -3x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
l = {0}

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