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Simplifying
4w2 + -121 = 0
Reorder the terms:
-121 + 4w2 = 0
Solving
-121 + 4w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '121' to each side of the equation.
-121 + 121 + 4w2 = 0 + 121
Combine like terms: -121 + 121 = 0
0 + 4w2 = 0 + 121
4w2 = 0 + 121
Combine like terms: 0 + 121 = 121
4w2 = 121
Divide each side by '4'.
w2 = 30.25
Simplifying
w2 = 30.25
Take the square root of each side:
w = {-5.5, 5.5}
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