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11x(8x+30)=180
We move all terms to the left:
11x(8x+30)-(180)=0
We multiply parentheses
88x^2+330x-180=0
a = 88; b = 330; c = -180;
Δ = b2-4ac
Δ = 3302-4·88·(-180)
Δ = 172260
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{172260}=\sqrt{36*4785}=\sqrt{36}*\sqrt{4785}=6\sqrt{4785}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(330)-6\sqrt{4785}}{2*88}=\frac{-330-6\sqrt{4785}}{176} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(330)+6\sqrt{4785}}{2*88}=\frac{-330+6\sqrt{4785}}{176} $
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