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If (w + 13)^2 = (3w + 7)(2w + 5), solve for w.

 Jan 24, 2022
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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+3w134=0

 

Now we can use the quadratic formula: w = b+b24ac2a 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

 

 

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 Jan 24, 2022

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