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Simplifying
5w2 + 25 = 85
Reorder the terms:
25 + 5w2 = 85
Solving
25 + 5w2 = 85
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-25' to each side of the equation.
25 + -25 + 5w2 = 85 + -25
Combine like terms: 25 + -25 = 0
0 + 5w2 = 85 + -25
5w2 = 85 + -25
Combine like terms: 85 + -25 = 60
5w2 = 60
Divide each side by '5'.
w2 = 12
Simplifying
w2 = 12
Take the square root of each side:
w = {-3.464101615, 3.464101615}
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