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Simplifying
(3w + 7)(3w + -7) = 0
Reorder the terms:
(7 + 3w)(3w + -7) = 0
Reorder the terms:
(7 + 3w)(-7 + 3w) = 0
Multiply (7 + 3w) * (-7 + 3w)
(7(-7 + 3w) + 3w * (-7 + 3w)) = 0
((-7 * 7 + 3w * 7) + 3w * (-7 + 3w)) = 0
((-49 + 21w) + 3w * (-7 + 3w)) = 0
(-49 + 21w + (-7 * 3w + 3w * 3w)) = 0
(-49 + 21w + (-21w + 9w2)) = 0
Combine like terms: 21w + -21w = 0
(-49 + 0 + 9w2) = 0
(-49 + 9w2) = 0
Solving
-49 + 9w2 = 0
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 9w2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 9w2 = 0 + 49
9w2 = 0 + 49
Combine like terms: 0 + 49 = 49
9w2 = 49
Divide each side by '9'.
w2 = 5.444444444
Simplifying
w2 = 5.444444444
Take the square root of each side:
w = {-2.333333333, 2.333333333}
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