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(3x-2)(9x+14)=180
We move all terms to the left:
(3x-2)(9x+14)-(180)=0
We multiply parentheses ..
(+27x^2+42x-18x-28)-180=0
We get rid of parentheses
27x^2+42x-18x-28-180=0
We add all the numbers together, and all the variables
27x^2+24x-208=0
a = 27; b = 24; c = -208;
Δ = b2-4ac
Δ = 242-4·27·(-208)
Δ = 23040
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{23040}=\sqrt{2304*10}=\sqrt{2304}*\sqrt{10}=48\sqrt{10}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-48\sqrt{10}}{2*27}=\frac{-24-48\sqrt{10}}{54} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+48\sqrt{10}}{2*27}=\frac{-24+48\sqrt{10}}{54} $
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