lz-3l=lz-il

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Solution for lz-3l=lz-il equation: 


Simplifying
lz + -3l = lz + -1il

Reorder the terms:
-3l + lz = lz + -1il

Reorder the terms:
-3l + lz = -1il + lz

Add '-1lz' to each side of the equation.
-3l + lz + -1lz = -1il + lz + -1lz

Combine like terms: lz + -1lz = 0
-3l + 0 = -1il + lz + -1lz
-3l = -1il + lz + -1lz

Combine like terms: lz + -1lz = 0
-3l = -1il + 0
-3l = -1il

Solving
-3l = -1il

Solving for variable 'l'.

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

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

Combine like terms: -1il + il = 0
il + -3l = 0

Factor out the Greatest Common Factor (GCF), 'l'.
l(i + -3) = 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 '(i + -3)' equal to zero and attempt to solve:

Simplifying
i + -3 = 0

Reorder the terms:
-3 + i = 0

Solving
-3 + i = 0

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

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

Combine like terms: -3 + 3 = 0
0 + i = 0 + 3
i = 0 + 3

Combine like terms: 0 + 3 = 3
i = 3

Add '-1i' to each side of the equation.
i + -1i = 3 + -1i

Combine like terms: i + -1i = 0
0 = 3 + -1i

Simplifying
0 = 3 + -1i

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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