### Home > AC > Chapter 12 > Lesson 12.2.1 > Problem 12-41

12-41.

Solve each equation or inequality below, if possible. Check your solution. Homework Help ✎

−(

*x*− 3)(*x*+ 1) = 410 |

*x*− 3 | > 40(

*x*− 5)^{3}= 8

Use a generic rectangle to multiply the factors together then distribute the negative and solve.

Set the equation equal to 0. Then use a generic rectangle to factor and solve for *x* using the Zero Product Property.

Solve for the absolute value then make two equations to remove the absolute value.

*x* − 3 = 4 or *x* − 3 = −4 *x* = 7 or *x* = −1

Test numbers to determine which region is the solution.

What number cubed equals 8?