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12a^2-42a=0
a = 12; b = -42; c = 0;
Δ = b2-4ac
Δ = -422-4·12·0
Δ = 1764
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{1764}=42$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-42)-42}{2*12}=\frac{0}{24} =0 $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-42)+42}{2*12}=\frac{84}{24} =3+1/2 $
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