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Simplifying
7k2 + -343 = 0
Reorder the terms:
-343 + 7k2 = 0
Solving
-343 + 7k2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '343' to each side of the equation.
-343 + 343 + 7k2 = 0 + 343
Combine like terms: -343 + 343 = 0
0 + 7k2 = 0 + 343
7k2 = 0 + 343
Combine like terms: 0 + 343 = 343
7k2 = 343
Divide each side by '7'.
k2 = 49
Simplifying
k2 = 49
Take the square root of each side:
k = {-7, 7}
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