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12a^2+15a+3=0
a = 12; b = 15; c = +3;
Δ = b2-4ac
Δ = 152-4·12·3
Δ = 81
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{81}=9$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-9}{2*12}=\frac{-24}{24} =-1 $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+9}{2*12}=\frac{-6}{24} =-1/4 $
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