### Home > AC > Chapter 11 > Lesson 11.2.2 > Problem11-92

11-92.
1. Solve each quadratic equation below using any method you choose. Check your solutions. Homework Help ✎

1. (5x − 1)(x + 3) = 0

2. 4x2 + 10x − 6 = 0

3. 0.5x2 − 3x + 4.5 = 0

4. x2 + 5x = 14

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

$x=\frac{1}{5}\text{ or }-3$

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