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Simplifying
9k2 + -3 = 0
Reorder the terms:
-3 + 9k2 = 0
Solving
-3 + 9k2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 9k2 = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 9k2 = 0 + 3
9k2 = 0 + 3
Combine like terms: 0 + 3 = 3
9k2 = 3
Divide each side by '9'.
k2 = 0.3333333333
Simplifying
k2 = 0.3333333333
Take the square root of each side:
k = {-0.577350269, 0.577350269}
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