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Simplifying
22 + 2w * w + -5 = 72
Multiply w * w
22 + 2w2 + -5 = 72
Reorder the terms:
22 + -5 + 2w2 = 72
Combine like terms: 22 + -5 = 17
17 + 2w2 = 72
Solving
17 + 2w2 = 72
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-17' to each side of the equation.
17 + -17 + 2w2 = 72 + -17
Combine like terms: 17 + -17 = 0
0 + 2w2 = 72 + -17
2w2 = 72 + -17
Combine like terms: 72 + -17 = 55
2w2 = 55
Divide each side by '2'.
w2 = 27.5
Simplifying
w2 = 27.5
Take the square root of each side:
w = {-5.244044241, 5.244044241}
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