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(X-1)(X+4)=336
We move all terms to the left:
(X-1)(X+4)-(336)=0
We multiply parentheses ..
(+X^2+4X-1X-4)-336=0
We get rid of parentheses
X^2+4X-1X-4-336=0
We add all the numbers together, and all the variables
X^2+3X-340=0
a = 1; b = 3; c = -340;
Δ = b2-4ac
Δ = 32-4·1·(-340)
Δ = 1369
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{1369}=37$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-37}{2*1}=\frac{-40}{2} =-20 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+37}{2*1}=\frac{34}{2} =17 $
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