## Algebra 1

$x = \frac{-1+\sqrt7}{4}$
Step 1: Use the Product of Cross Products $4x = (2 + \sqrt7)(3 - \sqrt7)$ Step 2: Use FOIL to simplify the right side of the equation and simplify by combining like terms. First + Outer + Inner + Last $4x = 6 - 2\sqrt7 + 3\sqrt7 - 7$ $4x = -1 + \sqrt7$ Step 3: Divide both sides by 4 in order to isolate x. $x = \frac{-1+\sqrt7}{4}$