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60(x+6)(7x-10)=0
We multiply parentheses ..
60(+7x^2-10x+42x-60)=0
We multiply parentheses
420x^2-600x+2520x-3600=0
We add all the numbers together, and all the variables
420x^2+1920x-3600=0
a = 420; b = 1920; c = -3600;
Δ = b2-4ac
Δ = 19202-4·420·(-3600)
Δ = 9734400
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{9734400}=3120$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1920)-3120}{2*420}=\frac{-5040}{840} =-6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1920)+3120}{2*420}=\frac{1200}{840} =1+3/7 $
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