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Simplifying
144w2 + -196 = 0
Reorder the terms:
-196 + 144w2 = 0
Solving
-196 + 144w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '196' to each side of the equation.
-196 + 196 + 144w2 = 0 + 196
Combine like terms: -196 + 196 = 0
0 + 144w2 = 0 + 196
144w2 = 0 + 196
Combine like terms: 0 + 196 = 196
144w2 = 196
Divide each side by '144'.
w2 = 1.361111111
Simplifying
w2 = 1.361111111
Take the square root of each side:
w = {-1.166666667, 1.166666667}
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