Please help me asap i have other questions you can answer too
solutions to:
(3x+5)^2+5(3x+5)+6=0

x = -8/3 = -2.667

 x = -7/3 = -2.333

Step-by-step explanation:

Equation at the end of step  1  :

(((3x + 5)2) + 5 • (3x + 5)) + 6 = 0

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  9x2+45x+56 

The first term is,  9x2  its coefficient is  9 .

The middle term is,  +45x  its coefficient is  45 .

The last term, "the constant", is  +56 

Step-1 : Multiply the coefficient of the first term by the constant   9 • 56 = 504 

Step-2 : Find two factors of  504  whose sum equals the coefficient of the middle term, which is   45 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  21  and  24 

                     9x2 + 21x + 24x + 56

Step-4 : Add up the first 2 terms, pulling out like factors :

                    3x • (3x+7)

              Add up the last 2 terms, pulling out common factors :

                    8 • (3x+7)

Step-5 : Add up the four terms of step 4 :

                    (3x+8)  •  (3x+7)

             Which is the desired factorization

Solve  :    3x+7 = 0 

 Subtract  7  from both sides of the equation : 

                      3x = -7

Divide both sides of the equation by 3:

                     x = -7/3 = -2.333

Solving a Single Variable Equation :

 3.3      Solve  :    3x+8 = 0 

 Subtract  8  from both sides of the equation : 

                      3x = -8

Divide both sides of the equation by 3:

                     x = -8/3 = -2.667

Supplement : Solving Quadratic Equation Directly

Solving  9x2+45x+56  = 0 directly

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b