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Simplifying
81w2 + -5 + -59 = 0
Reorder the terms:
-5 + -59 + 81w2 = 0
Combine like terms: -5 + -59 = -64
-64 + 81w2 = 0
Solving
-64 + 81w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '64' to each side of the equation.
-64 + 64 + 81w2 = 0 + 64
Combine like terms: -64 + 64 = 0
0 + 81w2 = 0 + 64
81w2 = 0 + 64
Combine like terms: 0 + 64 = 64
81w2 = 64
Divide each side by '81'.
w2 = 0.7901234568
Simplifying
w2 = 0.7901234568
Take the square root of each side:
w = {-0.888888889, 0.888888889}
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