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(-2x+7)(-5x+2)=0
We multiply parentheses ..
(+10x^2-4x-35x+14)=0
We get rid of parentheses
10x^2-4x-35x+14=0
We add all the numbers together, and all the variables
10x^2-39x+14=0
a = 10; b = -39; c = +14;
Δ = b2-4ac
Δ = -392-4·10·14
Δ = 961
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{961}=31$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-39)-31}{2*10}=\frac{8}{20} =2/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-39)+31}{2*10}=\frac{70}{20} =3+1/2 $
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