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Simplifying
8w2 + -50 = 0
Reorder the terms:
-50 + 8w2 = 0
Solving
-50 + 8w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '50' to each side of the equation.
-50 + 50 + 8w2 = 0 + 50
Combine like terms: -50 + 50 = 0
0 + 8w2 = 0 + 50
8w2 = 0 + 50
Combine like terms: 0 + 50 = 50
8w2 = 50
Divide each side by '8'.
w2 = 6.25
Simplifying
w2 = 6.25
Take the square root of each side:
w = {-2.5, 2.5}
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