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Simplifying
10k2 + -3 = 679
Reorder the terms:
-3 + 10k2 = 679
Solving
-3 + 10k2 = 679
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 10k2 = 679 + 3
Combine like terms: -3 + 3 = 0
0 + 10k2 = 679 + 3
10k2 = 679 + 3
Combine like terms: 679 + 3 = 682
10k2 = 682
Divide each side by '10'.
k2 = 68.2
Simplifying
k2 = 68.2
Take the square root of each side:
k = {-8.258329129, 8.258329129}
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