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(X+6)(X)=135
We move all terms to the left:
(X+6)(X)-(135)=0
We multiply parentheses
X^2+6X-135=0
a = 1; b = 6; c = -135;
Δ = b2-4ac
Δ = 62-4·1·(-135)
Δ = 576
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{576}=24$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-24}{2*1}=\frac{-30}{2} =-15 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+24}{2*1}=\frac{18}{2} =9 $
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