CPM Homework Help : A2C Problem 2-149

Rewrite each equation below. Then solve your new equation. Be sure to check your solution using the original equation.

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.

$n + 4 + \left(n^{2} + 2n\right) + n = 0$

$n^{2} + 4n + 4 = 0$

$\left(n + 2\right) \left(n + 2\right) = 0$

$n + 2 = 0$

$n = −2$

Hint (b):

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

Answer (b):

$x = −4 \text{ or } x = 1$

Check your work.