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6(5x-3)(3x+5)=0
We multiply parentheses ..
6(+15x^2+25x-9x-15)=0
We multiply parentheses
90x^2+150x-54x-90=0
We add all the numbers together, and all the variables
90x^2+96x-90=0
a = 90; b = 96; c = -90;
Δ = b2-4ac
Δ = 962-4·90·(-90)
Δ = 41616
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{41616}=204$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(96)-204}{2*90}=\frac{-300}{180} =-1+2/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(96)+204}{2*90}=\frac{108}{180} =3/5 $
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