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Simplifying
9k2 + -18 + 8 = 0
Reorder the terms:
-18 + 8 + 9k2 = 0
Combine like terms: -18 + 8 = -10
-10 + 9k2 = 0
Solving
-10 + 9k2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 9k2 = 0 + 10
Combine like terms: -10 + 10 = 0
0 + 9k2 = 0 + 10
9k2 = 0 + 10
Combine like terms: 0 + 10 = 10
9k2 = 10
Divide each side by '9'.
k2 = 1.111111111
Simplifying
k2 = 1.111111111
Take the square root of each side:
k = {-1.054092553, 1.054092553}
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