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(5x+3)(x+3)=180
We move all terms to the left:
(5x+3)(x+3)-(180)=0
We multiply parentheses ..
(+5x^2+15x+3x+9)-180=0
We get rid of parentheses
5x^2+15x+3x+9-180=0
We add all the numbers together, and all the variables
5x^2+18x-171=0
a = 5; b = 18; c = -171;
Δ = b2-4ac
Δ = 182-4·5·(-171)
Δ = 3744
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3744}=\sqrt{144*26}=\sqrt{144}*\sqrt{26}=12\sqrt{26}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-12\sqrt{26}}{2*5}=\frac{-18-12\sqrt{26}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+12\sqrt{26}}{2*5}=\frac{-18+12\sqrt{26}}{10} $
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