Question

Solve the equation for all real solutions.

X^2 + 11z +9 = 5z

Someone help plz ):

Answer 1

`z = -3`

Explanation:

Given

`z^2 +11z+9 = 5z` --- the correct equation

Required

Solve

Equate to 0

`z^2 +11z-5z+9 = 0`

`z^2 +6z+9 = 0`

Expand

`z^2 +3z+3z+9 = 0`

Factorize

`z(z +3)+3(z+3) = 0`

Factor out z + 3

`(z +3)(z+3) = 0`

Split

`z + 3 =0` --- twice

`z = -3`