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Simplifying
75w2 + -48 = 0
Reorder the terms:
-48 + 75w2 = 0
Solving
-48 + 75w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '48' to each side of the equation.
-48 + 48 + 75w2 = 0 + 48
Combine like terms: -48 + 48 = 0
0 + 75w2 = 0 + 48
75w2 = 0 + 48
Combine like terms: 0 + 48 = 48
75w2 = 48
Divide each side by '75'.
w2 = 0.64
Simplifying
w2 = 0.64
Take the square root of each side:
w = {-0.8, 0.8}
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