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Simplifying
10w2 + -1000 = 0
Reorder the terms:
-1000 + 10w2 = 0
Solving
-1000 + 10w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '1000' to each side of the equation.
-1000 + 1000 + 10w2 = 0 + 1000
Combine like terms: -1000 + 1000 = 0
0 + 10w2 = 0 + 1000
10w2 = 0 + 1000
Combine like terms: 0 + 1000 = 1000
10w2 = 1000
Divide each side by '10'.
w2 = 100
Simplifying
w2 = 100
Take the square root of each side:
w = {-10, 10}
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