Answer:
a= [tex]\frac{2}{5}[/tex] or [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Equate the equation to zero
[tex]10a^{2}[/tex]-9a+2=0
[tex]10a^{2}[/tex]-5a-4a+2=0
5a(2a-1)-2(2a-1)=0
Write out the factors
(5a-2)(2a-1)=0
Then equate each factor to zero
5a-2=0 OR 2a-1=0
5a=2 OR 2a=1
a= [tex]\frac{2}{5}[/tex] OR a= [tex]\frac{1}{2}[/tex]
a=[tex]\frac{2}{5}[/tex] or [tex]\frac{1}{2}[/tex]
