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Simplifying
20 = 8w * w
Multiply w * w
20 = 8w2
Solving
20 = 8w2
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-8w2' to each side of the equation.
20 + -8w2 = 8w2 + -8w2
Combine like terms: 8w2 + -8w2 = 0
20 + -8w2 = 0
Add '-20' to each side of the equation.
20 + -20 + -8w2 = 0 + -20
Combine like terms: 20 + -20 = 0
0 + -8w2 = 0 + -20
-8w2 = 0 + -20
Combine like terms: 0 + -20 = -20
-8w2 = -20
Divide each side by '-8'.
w2 = 2.5
Simplifying
w2 = 2.5
Take the square root of each side:
w = {-1.58113883, 1.58113883}
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