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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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-34)-26}{2*-5}=\frac{8}{-10} =-4/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+26}{2*-5}=\frac{60}{-10} =-6 $
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