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5(5x-2)(5x+6)=0
We multiply parentheses ..
5(+25x^2+30x-10x-12)=0
We multiply parentheses
125x^2+150x-50x-60=0
We add all the numbers together, and all the variables
125x^2+100x-60=0
a = 125; b = 100; c = -60;
Δ = b2-4ac
Δ = 1002-4·125·(-60)
Δ = 40000
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{40000}=200$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-200}{2*125}=\frac{-300}{250} =-1+1/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+200}{2*125}=\frac{100}{250} =2/5 $
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