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Simplifying
6 + w * w = 222
Multiply w * w
6 + w2 = 222
Solving
6 + w2 = 222
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + w2 = 222 + -6
Combine like terms: 6 + -6 = 0
0 + w2 = 222 + -6
w2 = 222 + -6
Combine like terms: 222 + -6 = 216
w2 = 216
Simplifying
w2 = 216
Take the square root of each side:
w = {-14.696938457, 14.696938457}
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