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Simplifying
4w2 + 40w2 + -44 = 0
Reorder the terms:
-44 + 4w2 + 40w2 = 0
Combine like terms: 4w2 + 40w2 = 44w2
-44 + 44w2 = 0
Solving
-44 + 44w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '44' to each side of the equation.
-44 + 44 + 44w2 = 0 + 44
Combine like terms: -44 + 44 = 0
0 + 44w2 = 0 + 44
44w2 = 0 + 44
Combine like terms: 0 + 44 = 44
44w2 = 44
Divide each side by '44'.
w2 = 1
Simplifying
w2 = 1
Take the square root of each side:
w = {-1, 1}
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