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Simplifying
20 = 8 + w * w
Multiply w * w
20 = 8 + w2
Solving
20 = 8 + w2
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-1w2' to each side of the equation.
20 + -1w2 = 8 + w2 + -1w2
Combine like terms: w2 + -1w2 = 0
20 + -1w2 = 8 + 0
20 + -1w2 = 8
Add '-20' to each side of the equation.
20 + -20 + -1w2 = 8 + -20
Combine like terms: 20 + -20 = 0
0 + -1w2 = 8 + -20
-1w2 = 8 + -20
Combine like terms: 8 + -20 = -12
-1w2 = -12
Divide each side by '-1'.
w2 = 12
Simplifying
w2 = 12
Take the square root of each side:
w = {-3.464101615, 3.464101615}
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