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(7x+6)(5x-8)=0
We multiply parentheses ..
(+35x^2-56x+30x-48)=0
We get rid of parentheses
35x^2-56x+30x-48=0
We add all the numbers together, and all the variables
35x^2-26x-48=0
a = 35; b = -26; c = -48;
Δ = b2-4ac
Δ = -262-4·35·(-48)
Δ = 7396
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{7396}=86$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26)-86}{2*35}=\frac{-60}{70} =-6/7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+86}{2*35}=\frac{112}{70} =1+3/5 $
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