### Home > AC > Chapter 9 > Lesson 9.2.2 > Problem 9-44

9-44.

To find the *x*-intercepts, make *y* = 0.

Method 1:

Draw a generic rectangle and diamond.

Set *y* = 0.

0 = 5*x*² + 7*x* − 6

The missing numbers in the square should equal 7*x*.

0 = (*x* + 2)(5*x* − 3)

*x* + 2 = 0 or 5*x* − 3 = 0

*x* = −2

Method 2:

Substitute the *a*, *b*, and *c* values of the expression into the quadratic formula.

Finish the rest yourself and show that both methods give the same answer.