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(2.5-x)(x+7.5)=0
We add all the numbers together, and all the variables
(-1x+2.5)(x+7.5)=0
We multiply parentheses ..
(-1x^2-7.5x+2.5x+18.75)=0
We get rid of parentheses
-1x^2-7.5x+2.5x+18.75=0
We add all the numbers together, and all the variables
-1x^2-5x+18.75=0
a = -1; b = -5; c = +18.75;
Δ = b2-4ac
Δ = -52-4·(-1)·18.75
Δ = 100
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{100}=10$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-10}{2*-1}=\frac{-5}{-2} =2+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+10}{2*-1}=\frac{15}{-2} =-7+1/2 $
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