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Simplifying
(3w + -11)(3w + 11) = 0
Reorder the terms:
(-11 + 3w)(3w + 11) = 0
Reorder the terms:
(-11 + 3w)(11 + 3w) = 0
Multiply (-11 + 3w) * (11 + 3w)
(-11(11 + 3w) + 3w * (11 + 3w)) = 0
((11 * -11 + 3w * -11) + 3w * (11 + 3w)) = 0
((-121 + -33w) + 3w * (11 + 3w)) = 0
(-121 + -33w + (11 * 3w + 3w * 3w)) = 0
(-121 + -33w + (33w + 9w2)) = 0
Combine like terms: -33w + 33w = 0
(-121 + 0 + 9w2) = 0
(-121 + 9w2) = 0
Solving
-121 + 9w2 = 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 + 9w2 = 0 + 121
Combine like terms: -121 + 121 = 0
0 + 9w2 = 0 + 121
9w2 = 0 + 121
Combine like terms: 0 + 121 = 121
9w2 = 121
Divide each side by '9'.
w2 = 13.44444444
Simplifying
w2 = 13.44444444
Take the square root of each side:
w = {-3.666666666, 3.666666666}
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