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Simplifying
2w2 + 5 + -250 = 0
Reorder the terms:
5 + -250 + 2w2 = 0
Combine like terms: 5 + -250 = -245
-245 + 2w2 = 0
Solving
-245 + 2w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '245' to each side of the equation.
-245 + 245 + 2w2 = 0 + 245
Combine like terms: -245 + 245 = 0
0 + 2w2 = 0 + 245
2w2 = 0 + 245
Combine like terms: 0 + 245 = 245
2w2 = 245
Divide each side by '2'.
w2 = 122.5
Simplifying
w2 = 122.5
Take the square root of each side:
w = {-11.067971811, 11.067971811}
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