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(5x+8)(3x+9)=
We move all terms to the left:
(5x+8)(3x+9)-()=0
We add all the numbers together, and all the variables
(5x+8)(3x+9)=0
We multiply parentheses ..
(+15x^2+45x+24x+72)=0
We get rid of parentheses
15x^2+45x+24x+72=0
We add all the numbers together, and all the variables
15x^2+69x+72=0
a = 15; b = 69; c = +72;
Δ = b2-4ac
Δ = 692-4·15·72
Δ = 441
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{441}=21$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(69)-21}{2*15}=\frac{-90}{30} =-3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(69)+21}{2*15}=\frac{-48}{30} =-1+3/5 $
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