Solve each equation by factoring ⁉️NEED THESE ASAP ⁉️

Answer:

3.

a=-1

a=-2

5.

n=-6

n=-3

8.

n=-5

n=-3

Step-by-step explanation:

3. separate into probable cases

[tex]a + 2 = 0\\ a + 1 = 0[/tex]

5.

[tex] {n}^{2} + 6n - 3n - 18 = 0 \\ [/tex]

factor out n from the expression

factor out -3 from the expression

[tex]n \times (n + 6) - 3(n + 6) = 0[/tex]

factor out n+6 from the equation

[tex](n + 6) \times (n - 3) = 0[/tex]

separate into probable cases

[tex]n + 6 = 0\\ n - 3 = 0[/tex]

solve the equations

[tex]n = - 6 \\ n = 3[/tex]

8.

[tex]n ^{2} + 5n + 3n + 15 = 0[/tex]

factor out n and 3 from the expression

[tex]n \times (n + 5) + 3(n + 5) = 0[/tex]

factor out n+5

[tex](n + 5) \times (n + 3) = 0[/tex]

separate into probable cases

[tex]n + 5 = 0 \\ n + 3 = 0[/tex]

solve the equations

[tex]n = - 3 \\ n = - 3[/tex]

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