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Simplifying
4w2 + 12 + 9 = 81
Reorder the terms:
12 + 9 + 4w2 = 81
Combine like terms: 12 + 9 = 21
21 + 4w2 = 81
Solving
21 + 4w2 = 81
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-21' to each side of the equation.
21 + -21 + 4w2 = 81 + -21
Combine like terms: 21 + -21 = 0
0 + 4w2 = 81 + -21
4w2 = 81 + -21
Combine like terms: 81 + -21 = 60
4w2 = 60
Divide each side by '4'.
w2 = 15
Simplifying
w2 = 15
Take the square root of each side:
w = {-3.872983346, 3.872983346}
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