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(9x+11)(4x+15)=0
We multiply parentheses ..
(+36x^2+135x+44x+165)=0
We get rid of parentheses
36x^2+135x+44x+165=0
We add all the numbers together, and all the variables
36x^2+179x+165=0
a = 36; b = 179; c = +165;
Δ = b2-4ac
Δ = 1792-4·36·165
Δ = 8281
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{8281}=91$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(179)-91}{2*36}=\frac{-270}{72} =-3+3/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(179)+91}{2*36}=\frac{-88}{72} =-1+2/9 $
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