Answer:
[tex](2v+3)(2v + 3) = 0[/tex]
Step-by-step explanation:
Given
[tex]4v^2 = -12v - 9[/tex]
Required
How to get (2v+3) and (2v + 3) as the solution
To do this, we simply factorize the expression
[tex]4v^2 = -12v - 9[/tex]
Move all terms to the left
[tex]4v^2 + 12v + 9 = 0[/tex]
Split
[tex]4v^2 + 6v + 6v + 9=0[/tex]
Expand
[tex]2v(2v+3)+3(3v+3) = 0[/tex]
[tex](2v+3)(2v + 3) = 0[/tex]
