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Simplifying
3w2 + -8 + 4 = 0
Reorder the terms:
-8 + 4 + 3w2 = 0
Combine like terms: -8 + 4 = -4
-4 + 3w2 = 0
Solving
-4 + 3w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 3w2 = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 3w2 = 0 + 4
3w2 = 0 + 4
Combine like terms: 0 + 4 = 4
3w2 = 4
Divide each side by '3'.
w2 = 1.333333333
Simplifying
w2 = 1.333333333
Take the square root of each side:
w = {-1.154700538, 1.154700538}
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