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Simplifying
(64w2 + -49) = 0
Reorder the terms:
(-49 + 64w2) = 0
Remove parenthesis around (-49 + 64w2)
-49 + 64w2 = 0
Solving
-49 + 64w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 64w2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 64w2 = 0 + 49
64w2 = 0 + 49
Combine like terms: 0 + 49 = 49
64w2 = 49
Divide each side by '64'.
w2 = 0.765625
Simplifying
w2 = 0.765625
Take the square root of each side:
w = {-0.875, 0.875}
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