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Simplifying
4k2 + -2 = 218
Reorder the terms:
-2 + 4k2 = 218
Solving
-2 + 4k2 = 218
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 4k2 = 218 + 2
Combine like terms: -2 + 2 = 0
0 + 4k2 = 218 + 2
4k2 = 218 + 2
Combine like terms: 218 + 2 = 220
4k2 = 220
Divide each side by '4'.
k2 = 55
Simplifying
k2 = 55
Take the square root of each side:
k = {-7.416198487, 7.416198487}
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