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2(x-14)(3x-15)=0
We multiply parentheses ..
2(+3x^2-15x-42x+210)=0
We multiply parentheses
6x^2-30x-84x+420=0
We add all the numbers together, and all the variables
6x^2-114x+420=0
a = 6; b = -114; c = +420;
Δ = b2-4ac
Δ = -1142-4·6·420
Δ = 2916
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{2916}=54$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-114)-54}{2*6}=\frac{60}{12} =5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-114)+54}{2*6}=\frac{168}{12} =14 $
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