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Simplifying
49k2 + -9 = 0
Reorder the terms:
-9 + 49k2 = 0
Solving
-9 + 49k2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 49k2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 49k2 = 0 + 9
49k2 = 0 + 9
Combine like terms: 0 + 9 = 9
49k2 = 9
Divide each side by '49'.
k2 = 0.1836734694
Simplifying
k2 = 0.1836734694
Take the square root of each side:
k = {-0.428571429, 0.428571429}
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