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Simplifying
24w2 + -24 + 6 = 0
Reorder the terms:
-24 + 6 + 24w2 = 0
Combine like terms: -24 + 6 = -18
-18 + 24w2 = 0
Solving
-18 + 24w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + 24w2 = 0 + 18
Combine like terms: -18 + 18 = 0
0 + 24w2 = 0 + 18
24w2 = 0 + 18
Combine like terms: 0 + 18 = 18
24w2 = 18
Divide each side by '24'.
w2 = 0.75
Simplifying
w2 = 0.75
Take the square root of each side:
w = {-0.866025404, 0.866025404}
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