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-5x^2-25x+70=
We move all terms to the left:
-5x^2-25x+70-()=0
We add all the numbers together, and all the variables
-5x^2-25x=0
a = -5; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·(-5)·0
Δ = 625
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{625}=25$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-25}{2*-5}=\frac{0}{-10} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*-5}=\frac{50}{-10} =-5 $
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