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Simplifying
24w2 + -294 = 0
Reorder the terms:
-294 + 24w2 = 0
Solving
-294 + 24w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '294' to each side of the equation.
-294 + 294 + 24w2 = 0 + 294
Combine like terms: -294 + 294 = 0
0 + 24w2 = 0 + 294
24w2 = 0 + 294
Combine like terms: 0 + 294 = 294
24w2 = 294
Divide each side by '24'.
w2 = 12.25
Simplifying
w2 = 12.25
Take the square root of each side:
w = {-3.5, 3.5}
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