+1632 First we open parenthesis.
\(w^2 + 26w + 169 = (3w + 7)(2w + 5)\)
Then we open parenthesis on the right side of the equation.
\(w^2 + 26w + 169 = 6w^2 +29w + 35\)
Then we have to combine like terms.
\(5w^2 + 3w -134 = 0\)
Now we can use the quadratic formula: w = \(-b {+\over} \sqrt{b^2 - 4ac}\over2a\) where a is the coefficient of \(w^2\), b is the coefficient of w, and c is the constant.
Now to plug in the values into the formula: we get
w = \(-3 {+\over}\sqrt{2689}\over10\)
