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Simplifying
3w2 + -11 = 77
Reorder the terms:
-11 + 3w2 = 77
Solving
-11 + 3w2 = 77
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 11 + 3w2 = 77 + 11
Combine like terms: -11 + 11 = 0
0 + 3w2 = 77 + 11
3w2 = 77 + 11
Combine like terms: 77 + 11 = 88
3w2 = 88
Divide each side by '3'.
w2 = 29.33333333
Simplifying
w2 = 29.33333333
Take the square root of each side:
w = {-5.416025603, 5.416025603}
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