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(5x+4)(x+2)=180
We move all terms to the left:
(5x+4)(x+2)-(180)=0
We multiply parentheses ..
(+5x^2+10x+4x+8)-180=0
We get rid of parentheses
5x^2+10x+4x+8-180=0
We add all the numbers together, and all the variables
5x^2+14x-172=0
a = 5; b = 14; c = -172;
Δ = b2-4ac
Δ = 142-4·5·(-172)
Δ = 3636
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3636}=\sqrt{36*101}=\sqrt{36}*\sqrt{101}=6\sqrt{101}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-6\sqrt{101}}{2*5}=\frac{-14-6\sqrt{101}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+6\sqrt{101}}{2*5}=\frac{-14+6\sqrt{101}}{10} $
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