### Home > INT2 > Chapter 5 > Lesson 5.2.4 > Problem 5-100

5-100.

Solve the following quadratic equations. Be sure to check your solutions.

Draw an area model and diamond. Generic rectangle labeled as follows: Interior upper right box is negative 42. Interior lower left box is X squared. Diamond problem: Left blank, Right blank, Top 42, x squared, Bottom negative 13, x.

Factor. Added to the rectangle: Interiors: upper left, negative 6, x, & lower right, negative 7, x. Exteriors: left edge, top, negative 6, & bottom, x, bottom edge, left, x, & right, negative 7. Added to the diamond problem: Left negative 6, x, Right negative 7, x.

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Make sure you find the other solution.

There are only two terms, so factor using the GCF.

Notice that each term is a multiple of

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