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Simplifying
4k2 + -49 = 0
Reorder the terms:
-49 + 4k2 = 0
Solving
-49 + 4k2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 4k2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 4k2 = 0 + 49
4k2 = 0 + 49
Combine like terms: 0 + 49 = 49
4k2 = 49
Divide each side by '4'.
k2 = 12.25
Simplifying
k2 = 12.25
Take the square root of each side:
k = {-3.5, 3.5}
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