j^2-16jk+48k^2=0

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Solution for j^2-16jk+48k^2=0 equation: 


Simplifying
j2 + -16jk + 48k2 = 0

Reorder the terms:
-16jk + j2 + 48k2 = 0

Solving
-16jk + j2 + 48k2 = 0

Solving for variable 'j'.

Factor a trinomial.
(j + -12k)(j + -4k) = 0


Subproblem 1
Set the factor '(j + -12k)' equal to zero and attempt to solve:

Simplifying
j + -12k = 0

Solving
j + -12k = 0

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

Add '12k' to each side of the equation.
j + -12k + 12k = 0 + 12k

Combine like terms: -12k + 12k = 0
j + 0 = 0 + 12k
j = 0 + 12k
Remove the zero:
j = 12k

Simplifying
j = 12k

Subproblem 2
Set the factor '(j + -4k)' equal to zero and attempt to solve:

Simplifying
j + -4k = 0

Solving
j + -4k = 0

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

Add '4k' to each side of the equation.
j + -4k + 4k = 0 + 4k

Combine like terms: -4k + 4k = 0
j + 0 = 0 + 4k
j = 0 + 4k
Remove the zero:
j = 4k

Simplifying
j = 4k
Solution
j = {12k, 4k}

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