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Simplifying
6k2 + -24 + -192 = 0
Reorder the terms:
-24 + -192 + 6k2 = 0
Combine like terms: -24 + -192 = -216
-216 + 6k2 = 0
Solving
-216 + 6k2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '216' to each side of the equation.
-216 + 216 + 6k2 = 0 + 216
Combine like terms: -216 + 216 = 0
0 + 6k2 = 0 + 216
6k2 = 0 + 216
Combine like terms: 0 + 216 = 216
6k2 = 216
Divide each side by '6'.
k2 = 36
Simplifying
k2 = 36
Take the square root of each side:
k = {-6, 6}
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