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(x+6)(5x+4)=0
We multiply parentheses ..
(+5x^2+4x+30x+24)=0
We get rid of parentheses
5x^2+4x+30x+24=0
We add all the numbers together, and all the variables
5x^2+34x+24=0
a = 5; b = 34; c = +24;
Δ = b2-4ac
Δ = 342-4·5·24
Δ = 676
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{676}=26$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(34)-26}{2*5}=\frac{-60}{10} =-6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(34)+26}{2*5}=\frac{-8}{10} =-4/5 $
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