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Simplifying
2w2 + -16 + 30 + -1w2 + -25 = 0
Reorder the terms:
-16 + 30 + -25 + 2w2 + -1w2 = 0
Combine like terms: -16 + 30 = 14
14 + -25 + 2w2 + -1w2 = 0
Combine like terms: 14 + -25 = -11
-11 + 2w2 + -1w2 = 0
Combine like terms: 2w2 + -1w2 = 1w2
-11 + 1w2 = 0
Solving
-11 + 1w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 11 + 1w2 = 0 + 11
Combine like terms: -11 + 11 = 0
0 + 1w2 = 0 + 11
1w2 = 0 + 11
Combine like terms: 0 + 11 = 11
1w2 = 11
Divide each side by '1'.
w2 = 11
Simplifying
w2 = 11
Take the square root of each side:
w = {-3.31662479, 3.31662479}
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