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(X+7)(X-2)=30
We move all terms to the left:
(X+7)(X-2)-(30)=0
We multiply parentheses ..
(+X^2-2X+7X-14)-30=0
We get rid of parentheses
X^2-2X+7X-14-30=0
We add all the numbers together, and all the variables
X^2+5X-44=0
a = 1; b = 5; c = -44;
Δ = b2-4ac
Δ = 52-4·1·(-44)
Δ = 201
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{201}}{2*1}=\frac{-5-\sqrt{201}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{201}}{2*1}=\frac{-5+\sqrt{201}}{2} $
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