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735=5x^2-70x
We move all terms to the left:
735-(5x^2-70x)=0
We get rid of parentheses
-5x^2+70x+735=0
a = -5; b = 70; c = +735;
Δ = b2-4ac
Δ = 702-4·(-5)·735
Δ = 19600
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{19600}=140$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(70)-140}{2*-5}=\frac{-210}{-10} =+21 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70)+140}{2*-5}=\frac{70}{-10} =-7 $
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