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(7x-15)(5x+19)=0
We multiply parentheses ..
(+35x^2+133x-75x-285)=0
We get rid of parentheses
35x^2+133x-75x-285=0
We add all the numbers together, and all the variables
35x^2+58x-285=0
a = 35; b = 58; c = -285;
Δ = b2-4ac
Δ = 582-4·35·(-285)
Δ = 43264
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{43264}=208$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(58)-208}{2*35}=\frac{-266}{70} =-3+4/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(58)+208}{2*35}=\frac{150}{70} =2+1/7 $
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