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(X+6)(6X+5)=0
We multiply parentheses ..
(+6X^2+5X+36X+30)=0
We get rid of parentheses
6X^2+5X+36X+30=0
We add all the numbers together, and all the variables
6X^2+41X+30=0
a = 6; b = 41; c = +30;
Δ = b2-4ac
Δ = 412-4·6·30
Δ = 961
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{961}=31$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(41)-31}{2*6}=\frac{-72}{12} =-6 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(41)+31}{2*6}=\frac{-10}{12} =-5/6 $
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