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(5a-1)(3a+1)=0
We multiply parentheses ..
(+15a^2+5a-3a-1)=0
We get rid of parentheses
15a^2+5a-3a-1=0
We add all the numbers together, and all the variables
15a^2+2a-1=0
a = 15; b = 2; c = -1;
Δ = b2-4ac
Δ = 22-4·15·(-1)
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{64}=8$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-8}{2*15}=\frac{-10}{30} =-1/3 $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+8}{2*15}=\frac{6}{30} =1/5 $
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