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(6x+24)(5x-2.5)=0
We multiply parentheses ..
(+30x^2-15x+120x-60)=0
We get rid of parentheses
30x^2-15x+120x-60=0
We add all the numbers together, and all the variables
30x^2+105x-60=0
a = 30; b = 105; c = -60;
Δ = b2-4ac
Δ = 1052-4·30·(-60)
Δ = 18225
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{18225}=135$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(105)-135}{2*30}=\frac{-240}{60} =-4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(105)+135}{2*30}=\frac{30}{60} =1/2 $
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