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(X+7)(2X+4)=252
We move all terms to the left:
(X+7)(2X+4)-(252)=0
We multiply parentheses ..
(+2X^2+4X+14X+28)-252=0
We get rid of parentheses
2X^2+4X+14X+28-252=0
We add all the numbers together, and all the variables
2X^2+18X-224=0
a = 2; b = 18; c = -224;
Δ = b2-4ac
Δ = 182-4·2·(-224)
Δ = 2116
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{2116}=46$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-46}{2*2}=\frac{-64}{4} =-16 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+46}{2*2}=\frac{28}{4} =7 $
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