Answer:
b = 0 or b = -0.03
Step-by-step explanation:
We can apply the zero product property to the equation:
[tex]9b^2+0.27b=0[/tex]
by factoring out a b from both terms on the left side:
[tex]b(9b+0.27)=0[/tex]
Now, the equation is in the form:
[tex]AB=0[/tex]
where we can apply the zero product property, which states that:
[tex]A = 0[/tex] or [tex]B=0[/tex]
In this equation,
- [tex]A = b[/tex]
- [tex]B = (9b + 0.27)[/tex]
Hence:
[tex]\boxed{b = 0}[/tex] or [tex]9b + 0.27 = 0[/tex]
[tex]9b = -0.27[/tex]
[tex]\boxed{b = -0.03}[/tex]
