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5(x-2)(x-6)=0
We multiply parentheses ..
5(+x^2-6x-2x+12)=0
We multiply parentheses
5x^2-30x-10x+60=0
We add all the numbers together, and all the variables
5x^2-40x+60=0
a = 5; b = -40; c = +60;
Δ = b2-4ac
Δ = -402-4·5·60
Δ = 400
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{400}=20$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-20}{2*5}=\frac{20}{10} =2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+20}{2*5}=\frac{60}{10} =6 $
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