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Simplifying
10k2 + -97 = 3k2 + 659
Reorder the terms:
-97 + 10k2 = 3k2 + 659
Reorder the terms:
-97 + 10k2 = 659 + 3k2
Solving
-97 + 10k2 = 659 + 3k2
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-3k2' to each side of the equation.
-97 + 10k2 + -3k2 = 659 + 3k2 + -3k2
Combine like terms: 10k2 + -3k2 = 7k2
-97 + 7k2 = 659 + 3k2 + -3k2
Combine like terms: 3k2 + -3k2 = 0
-97 + 7k2 = 659 + 0
-97 + 7k2 = 659
Add '97' to each side of the equation.
-97 + 97 + 7k2 = 659 + 97
Combine like terms: -97 + 97 = 0
0 + 7k2 = 659 + 97
7k2 = 659 + 97
Combine like terms: 659 + 97 = 756
7k2 = 756
Divide each side by '7'.
k2 = 108
Simplifying
k2 = 108
Take the square root of each side:
k = {-10.392304845, 10.392304845}
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