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8x(6x+6)=180
We move all terms to the left:
8x(6x+6)-(180)=0
We multiply parentheses
48x^2+48x-180=0
a = 48; b = 48; c = -180;
Δ = b2-4ac
Δ = 482-4·48·(-180)
Δ = 36864
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{36864}=192$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(48)-192}{2*48}=\frac{-240}{96} =-2+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(48)+192}{2*48}=\frac{144}{96} =1+1/2 $
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