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(X+9)(4X+1)=180
We move all terms to the left:
(X+9)(4X+1)-(180)=0
We multiply parentheses ..
(+4X^2+X+36X+9)-180=0
We get rid of parentheses
4X^2+X+36X+9-180=0
We add all the numbers together, and all the variables
4X^2+37X-171=0
a = 4; b = 37; c = -171;
Δ = b2-4ac
Δ = 372-4·4·(-171)
Δ = 4105
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{-(37)-\sqrt{4105}}{2*4}=\frac{-37-\sqrt{4105}}{8} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+\sqrt{4105}}{2*4}=\frac{-37+\sqrt{4105}}{8} $
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