First we open parenthesis.
w2+26w+169=(3w+7)(2w+5)
Then we open parenthesis on the right side of the equation.
w2+26w+169=6w2+29w+35
Then we have to combine like terms.
5w2+3w−134=0
Now we can use the quadratic formula: w = −b+√b2−4ac2a where a is the coefficient of w2, b is the coefficient of w, and c is the constant.
Now to plug in the values into the formula: we get
w = −3+√268910