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Simplifying
7w2 + -8 = 0
Reorder the terms:
-8 + 7w2 = 0
Solving
-8 + 7w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 7w2 = 0 + 8
Combine like terms: -8 + 8 = 0
0 + 7w2 = 0 + 8
7w2 = 0 + 8
Combine like terms: 0 + 8 = 8
7w2 = 8
Divide each side by '7'.
w2 = 1.142857143
Simplifying
w2 = 1.142857143
Take the square root of each side:
w = {-1.069044968, 1.069044968}
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