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a(a-14)=1800
We move all terms to the left:
a(a-14)-(1800)=0
We multiply parentheses
a^2-14a-1800=0
a = 1; b = -14; c = -1800;
Δ = b2-4ac
Δ = -142-4·1·(-1800)
Δ = 7396
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{7396}=86$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-86}{2*1}=\frac{-72}{2} =-36 $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+86}{2*1}=\frac{100}{2} =50 $
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