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5(5x-7)(2x+7)=0
We multiply parentheses ..
5(+10x^2+35x-14x-49)=0
We multiply parentheses
50x^2+175x-70x-245=0
We add all the numbers together, and all the variables
50x^2+105x-245=0
a = 50; b = 105; c = -245;
Δ = b2-4ac
Δ = 1052-4·50·(-245)
Δ = 60025
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{60025}=245$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(105)-245}{2*50}=\frac{-350}{100} =-3+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(105)+245}{2*50}=\frac{140}{100} =1+2/5 $
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