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Simplifying
3k2 + -27 = 0
Reorder the terms:
-27 + 3k2 = 0
Solving
-27 + 3k2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '27' to each side of the equation.
-27 + 27 + 3k2 = 0 + 27
Combine like terms: -27 + 27 = 0
0 + 3k2 = 0 + 27
3k2 = 0 + 27
Combine like terms: 0 + 27 = 27
3k2 = 27
Divide each side by '3'.
k2 = 9
Simplifying
k2 = 9
Take the square root of each side:
k = {-3, 3}
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