What are the solutions of the equation (2x + 3) 2 + 8 (2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve

0 x - 4+15

x--74 NE

x = - 7 and x = - 2

x = - 1 and x = 4

x=-41/20

Step-by-step explanation:

(2x+3) (2) + 8 (2x+3) + 11=0

Step 1: Simplify both sides of the equation.

(2x+3) (2) + 8 (2x+3) + 11=0

(2x) (2) + (3) (2) + (8) (2x) + (8) (3) + 11=0 (Distribute)

4x+6+16x+24+11=0

(4x+16x) + (6+24+11) = 0 (Combine Like Terms)

20x+41=0

20x+41=0

Step 2: Subtract 41 from both sides.

20x+41-41=0-41

20x=-41

Step 3: Divide both sides by 20.

20x/20=-41/20

x=-41/20