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Simplifying
4k2 + -8 = 320
Reorder the terms:
-8 + 4k2 = 320
Solving
-8 + 4k2 = 320
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 4k2 = 320 + 8
Combine like terms: -8 + 8 = 0
0 + 4k2 = 320 + 8
4k2 = 320 + 8
Combine like terms: 320 + 8 = 328
4k2 = 328
Divide each side by '4'.
k2 = 82
Simplifying
k2 = 82
Take the square root of each side:
k = {-9.055385138, 9.055385138}
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