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(16x+6)(27x+2)=180
We move all terms to the left:
(16x+6)(27x+2)-(180)=0
We multiply parentheses ..
(+432x^2+32x+162x+12)-180=0
We get rid of parentheses
432x^2+32x+162x+12-180=0
We add all the numbers together, and all the variables
432x^2+194x-168=0
a = 432; b = 194; c = -168;
Δ = b2-4ac
Δ = 1942-4·432·(-168)
Δ = 327940
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{327940}=\sqrt{4*81985}=\sqrt{4}*\sqrt{81985}=2\sqrt{81985}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(194)-2\sqrt{81985}}{2*432}=\frac{-194-2\sqrt{81985}}{864} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(194)+2\sqrt{81985}}{2*432}=\frac{-194+2\sqrt{81985}}{864} $
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