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Simplifying
5w2 + 8 = 58
Reorder the terms:
8 + 5w2 = 58
Solving
8 + 5w2 = 58
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 5w2 = 58 + -8
Combine like terms: 8 + -8 = 0
0 + 5w2 = 58 + -8
5w2 = 58 + -8
Combine like terms: 58 + -8 = 50
5w2 = 50
Divide each side by '5'.
w2 = 10
Simplifying
w2 = 10
Take the square root of each side:
w = {-3.16227766, 3.16227766}
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