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(6x+2)(4x+8)=180
We move all terms to the left:
(6x+2)(4x+8)-(180)=0
We multiply parentheses ..
(+24x^2+48x+8x+16)-180=0
We get rid of parentheses
24x^2+48x+8x+16-180=0
We add all the numbers together, and all the variables
24x^2+56x-164=0
a = 24; b = 56; c = -164;
Δ = b2-4ac
Δ = 562-4·24·(-164)
Δ = 18880
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{18880}=\sqrt{64*295}=\sqrt{64}*\sqrt{295}=8\sqrt{295}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(56)-8\sqrt{295}}{2*24}=\frac{-56-8\sqrt{295}}{48} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(56)+8\sqrt{295}}{2*24}=\frac{-56+8\sqrt{295}}{48} $
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