F (x) = squared x^2+7x+6

Subtract

6

6

from both sides of the equation.

x

2

-

7

x

=

-

6

x

2

-

7

x

=

-

6

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of

b

b

.

(

b

2

)

2

=

(

-

7

2

)

2

(

b

2

)

2

=

(

-

7

2

)

2

Add the term to each side of the equation.

x

2

-

7

x

+

(

-

7

2

)

2

=

-

6

+

(

-

7

2

)

2

x

2

-

7

x

+

(

-

7

2

)

2

=

-

6

+

(

-

7

2

)

2

Simplify the equation.

Tap for more steps ...

x

2

-

7

x

+

49

4

=

25

4

x

2

-

7

x

+

49

4

=

25

4

Factor the perfect trinomial square into

(

x

-

7

2

)

2

(

x

-

7

2

)

2

.

(

x

-

7

2

)

2

=

25

4

(

x

-

7

2

)

2

=

25

4

Solve the equation for

x

x

.

Tap for more steps ...

x

=

6

,

1