CPM Homework Help : CAAC Problem 2-149

Rewrite each equation below. Then solve your new equation. Be sure to check your solution using the original equation. Homework Help ✎
1. (n + 4) + n(n + 2) + n = 0

Step 1 (a):

Distribute the n.

Step 2 (a):

Combine like terms, and factor the equation.

Step 3 (a):

Simplify by Zero Product Property, then subtract 2 from both sides.

Answer (a):

Remember to check your work.

n + 4 + (n² + 2n) + n = 0

n² + 4n + 4 = 0

(n + 2) (n + 2) = 0

n + 2 = 0

n = −2

Hint (b):

Multiply both sides by x. Then set the equation equalto 0 and use the ZPP.

Answer (b):

x = −4 or x = 1

Check your work.