L^2=8L

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Solution for L^2=8L equation: 


Simplifying
L2 = 8L

Solving
L2 = 8L

Solving for variable 'L'.

Reorder the terms:
-8L + L2 = 8L + -8L

Combine like terms: 8L + -8L = 0
-8L + L2 = 0

Factor out the Greatest Common Factor (GCF), 'L'.
L(-8 + L) = 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 '(-8 + L)' equal to zero and attempt to solve:

Simplifying
-8 + L = 0

Solving
-8 + L = 0

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

Add '8' to each side of the equation.
-8 + 8 + L = 0 + 8

Combine like terms: -8 + 8 = 0
0 + L = 0 + 8
L = 0 + 8

Combine like terms: 0 + 8 = 8
L = 8

Simplifying
L = 8
Solution
L = {0, 8}

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