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Simplifying
5w2 + -16 = 16
Reorder the terms:
-16 + 5w2 = 16
Solving
-16 + 5w2 = 16
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 5w2 = 16 + 16
Combine like terms: -16 + 16 = 0
0 + 5w2 = 16 + 16
5w2 = 16 + 16
Combine like terms: 16 + 16 = 32
5w2 = 32
Divide each side by '5'.
w2 = 6.4
Simplifying
w2 = 6.4
Take the square root of each side:
w = {-2.529822128, 2.529822128}
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