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(9x+21)(11x-1)=180
We move all terms to the left:
(9x+21)(11x-1)-(180)=0
We multiply parentheses ..
(+99x^2-9x+231x-21)-180=0
We get rid of parentheses
99x^2-9x+231x-21-180=0
We add all the numbers together, and all the variables
99x^2+222x-201=0
a = 99; b = 222; c = -201;
Δ = b2-4ac
Δ = 2222-4·99·(-201)
Δ = 128880
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{128880}=\sqrt{144*895}=\sqrt{144}*\sqrt{895}=12\sqrt{895}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(222)-12\sqrt{895}}{2*99}=\frac{-222-12\sqrt{895}}{198} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(222)+12\sqrt{895}}{2*99}=\frac{-222+12\sqrt{895}}{198} $
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