### Home > AC > Chapter 11 > Lesson 11.2.2 > Problem 11-92

11-92.

Solve each quadratic equation below using any method you choose. Check your solutions. Homework Help ✎

(5

*x*− 1)(*x*+ 3) = 04

*x*^{2}+ 10*x*− 6 = 00.5

*x*^{2}− 3*x*+ 4.5 = 0*x*^{2}+ 5*x*= 14

Since its already factored, use the Zero Product Property to solve.

Factor out a 2 from the equation, then factor the quadratic.

Once factored, see part (a).

Multiply throughout by 2 to remove the decimals.

Factor and use the Zero Product Property to solve.

(*x* + 3)(*x* + 3) = 0*x* = −3

Subtract 14 from both sides, then factor.

Once factored, see parts (a) and (c) for more help.

*x* = 2 or −7