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Simplifying
108w2 + -75 = 0
Reorder the terms:
-75 + 108w2 = 0
Solving
-75 + 108w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '75' to each side of the equation.
-75 + 75 + 108w2 = 0 + 75
Combine like terms: -75 + 75 = 0
0 + 108w2 = 0 + 75
108w2 = 0 + 75
Combine like terms: 0 + 75 = 75
108w2 = 75
Divide each side by '108'.
w2 = 0.6944444444
Simplifying
w2 = 0.6944444444
Take the square root of each side:
w = {-0.833333333, 0.833333333}
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