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Simplifying
(20w + 11)(20w + -11) = 0
Reorder the terms:
(11 + 20w)(20w + -11) = 0
Reorder the terms:
(11 + 20w)(-11 + 20w) = 0
Multiply (11 + 20w) * (-11 + 20w)
(11(-11 + 20w) + 20w * (-11 + 20w)) = 0
((-11 * 11 + 20w * 11) + 20w * (-11 + 20w)) = 0
((-121 + 220w) + 20w * (-11 + 20w)) = 0
(-121 + 220w + (-11 * 20w + 20w * 20w)) = 0
(-121 + 220w + (-220w + 400w2)) = 0
Combine like terms: 220w + -220w = 0
(-121 + 0 + 400w2) = 0
(-121 + 400w2) = 0
Solving
-121 + 400w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '121' to each side of the equation.
-121 + 121 + 400w2 = 0 + 121
Combine like terms: -121 + 121 = 0
0 + 400w2 = 0 + 121
400w2 = 0 + 121
Combine like terms: 0 + 121 = 121
400w2 = 121
Divide each side by '400'.
w2 = 0.3025
Simplifying
w2 = 0.3025
Take the square root of each side:
w = {-0.55, 0.55}
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