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Simplifying
7k2 + -20 + -3 = 0
Reorder the terms:
-20 + -3 + 7k2 = 0
Combine like terms: -20 + -3 = -23
-23 + 7k2 = 0
Solving
-23 + 7k2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '23' to each side of the equation.
-23 + 23 + 7k2 = 0 + 23
Combine like terms: -23 + 23 = 0
0 + 7k2 = 0 + 23
7k2 = 0 + 23
Combine like terms: 0 + 23 = 23
7k2 = 23
Divide each side by '7'.
k2 = 3.285714286
Simplifying
k2 = 3.285714286
Take the square root of each side:
k = {-1.812653934, 1.812653934}
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