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

11-92.

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

1. $\left(5x − 1\right)\left(x + 3\right) = 0$

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

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

1. $4x^{2} + 10x − 6 = 0$

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

Once factored, see part (a).

1. $0.5x^{2} − 3x + 4.5 = 0$

Multiply throughout by 2 to remove the decimals.

Factor and use the Zero Product Property to solve.
$\left(x + 3\right)\left(x + 3\right) = 0$
$x = −3$

1. $x^{2} + 5x = 14$

Subtract 14 from both sides, then factor.

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

$x = 2 \text{ or } −7$