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Simplifying
3k2 + 4 = 64
Reorder the terms:
4 + 3k2 = 64
Solving
4 + 3k2 = 64
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + 3k2 = 64 + -4
Combine like terms: 4 + -4 = 0
0 + 3k2 = 64 + -4
3k2 = 64 + -4
Combine like terms: 64 + -4 = 60
3k2 = 60
Divide each side by '3'.
k2 = 20
Simplifying
k2 = 20
Take the square root of each side:
k = {-4.472135955, 4.472135955}
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