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10x^2-24x=18
We move all terms to the left:
10x^2-24x-(18)=0
a = 10; b = -24; c = -18;
Δ = b2-4ac
Δ = -242-4·10·(-18)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1296}=36$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-36}{2*10}=\frac{-12}{20} =-3/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+36}{2*10}=\frac{60}{20} =3 $
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