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(-5x-3)(x+18)=-110
We move all terms to the left:
(-5x-3)(x+18)-(-110)=0
We add all the numbers together, and all the variables
(-5x-3)(x+18)+110=0
We multiply parentheses ..
(-5x^2-90x-3x-54)+110=0
We get rid of parentheses
-5x^2-90x-3x-54+110=0
We add all the numbers together, and all the variables
-5x^2-93x+56=0
a = -5; b = -93; c = +56;
Δ = b2-4ac
Δ = -932-4·(-5)·56
Δ = 9769
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{-(-93)-\sqrt{9769}}{2*-5}=\frac{93-\sqrt{9769}}{-10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-93)+\sqrt{9769}}{2*-5}=\frac{93+\sqrt{9769}}{-10} $
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