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-2.5x(x-10)=-2.5x-25
We move all terms to the left:
-2.5x(x-10)-(-2.5x-25)=0
We multiply parentheses
-2x^2+20x-(-2.5x-25)=0
We get rid of parentheses
-2x^2+20x+2.5x+25=0
We add all the numbers together, and all the variables
-2x^2+22.5x+25=0
a = -2; b = 22.5; c = +25;
Δ = b2-4ac
Δ = 22.52-4·(-2)·25
Δ = 706.25
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22.5)-\sqrt{706.25}}{2*-2}=\frac{-22.5-\sqrt{706.25}}{-4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22.5)+\sqrt{706.25}}{2*-2}=\frac{-22.5+\sqrt{706.25}}{-4} $
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