Question

Which is a solution to (x - 3)(x + 9) = -27?

Answer 1

Answer:

x=0

Step-by-step explanation:

x^2+6x-27=-27

x^2+6x=0

x(x+6)

x=0, x=-6

Answer 2

x

2

+9x−3x−27=−27

2 Simplify

x

2

+

9

x

−

3

x

−

2

7

{x}^{2}+9x-3x-27

x

2

+9x−3x−27 to

x

2

+

6

x

−

2

7

{x}^{2}+6x-27

x

2

+6x−27.

x

2

+

6

x

−

2

7

=

−

2

7

{x}^{2}+6x-27=-27

x

2

+6x−27=−27

3 Cancel

−

2

7

-27

−27 on both sides.

x

2

+

6

x

=

0

{x}^{2}+6x=0

x

2

+6x=0

4 Factor out the common term

x

x

x.

x

(

x

+

6

)

=

0

x(x+6)=0

x(x+6)=0

5

How?

Solve for

x

x

x.

x

=

0

,

−

6

x=0,-6

x=0,−6