k^2-27kj-90j^2=0

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Solution for k^2-27kj-90j^2=0 equation: 


Simplifying
k2 + -27kj + -90j2 = 0

Reorder the terms:
-27jk + -90j2 + k2 = 0

Solving
-27jk + -90j2 + k2 = 0

Solving for variable 'j'.

Factor a trinomial.
(-3j + -1k)(30j + -1k) = 0


Subproblem 1
Set the factor '(-3j + -1k)' equal to zero and attempt to solve:

Simplifying
-3j + -1k = 0

Solving
-3j + -1k = 0

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

Add 'k' to each side of the equation.
-3j + -1k + k = 0 + k

Combine like terms: -1k + k = 0
-3j + 0 = 0 + k
-3j = 0 + k
Remove the zero:
-3j = k

Divide each side by '-3'.
j = -0.3333333333k

Simplifying
j = -0.3333333333k

Subproblem 2
Set the factor '(30j + -1k)' equal to zero and attempt to solve:

Simplifying
30j + -1k = 0

Solving
30j + -1k = 0

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

Add 'k' to each side of the equation.
30j + -1k + k = 0 + k

Combine like terms: -1k + k = 0
30j + 0 = 0 + k
30j = 0 + k
Remove the zero:
30j = k

Divide each side by '30'.
j = 0.03333333333k

Simplifying
j = 0.03333333333k
Solution
j = {-0.3333333333k, 0.03333333333k}

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