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Simplifying
3w2 + -192 = 0
Reorder the terms:
-192 + 3w2 = 0
Solving
-192 + 3w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '192' to each side of the equation.
-192 + 192 + 3w2 = 0 + 192
Combine like terms: -192 + 192 = 0
0 + 3w2 = 0 + 192
3w2 = 0 + 192
Combine like terms: 0 + 192 = 192
3w2 = 192
Divide each side by '3'.
w2 = 64
Simplifying
w2 = 64
Take the square root of each side:
w = {-8, 8}
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