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(5x+4)(6x-7)=85
We move all terms to the left:
(5x+4)(6x-7)-(85)=0
We multiply parentheses ..
(+30x^2-35x+24x-28)-85=0
We get rid of parentheses
30x^2-35x+24x-28-85=0
We add all the numbers together, and all the variables
30x^2-11x-113=0
a = 30; b = -11; c = -113;
Δ = b2-4ac
Δ = -112-4·30·(-113)
Δ = 13681
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-\sqrt{13681}}{2*30}=\frac{11-\sqrt{13681}}{60} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{13681}}{2*30}=\frac{11+\sqrt{13681}}{60} $
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