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(X+3)(2X+0)=40
We move all terms to the left:
(X+3)(2X+0)-(40)=0
We add all the numbers together, and all the variables
(X+3)(+2X)-40=0
We multiply parentheses ..
(+2X^2+6X)-40=0
We get rid of parentheses
2X^2+6X-40=0
a = 2; b = 6; c = -40;
Δ = b2-4ac
Δ = 62-4·2·(-40)
Δ = 356
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{356}=\sqrt{4*89}=\sqrt{4}*\sqrt{89}=2\sqrt{89}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{89}}{2*2}=\frac{-6-2\sqrt{89}}{4} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{89}}{2*2}=\frac{-6+2\sqrt{89}}{4} $
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