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Simplifying
36w2 + -289 = 0
Reorder the terms:
-289 + 36w2 = 0
Solving
-289 + 36w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '289' to each side of the equation.
-289 + 289 + 36w2 = 0 + 289
Combine like terms: -289 + 289 = 0
0 + 36w2 = 0 + 289
36w2 = 0 + 289
Combine like terms: 0 + 289 = 289
36w2 = 289
Divide each side by '36'.
w2 = 8.027777778
Simplifying
w2 = 8.027777778
Take the square root of each side:
w = {-2.833333333, 2.833333333}
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