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(9x+1)(8x+9)=180
We move all terms to the left:
(9x+1)(8x+9)-(180)=0
We multiply parentheses ..
(+72x^2+81x+8x+9)-180=0
We get rid of parentheses
72x^2+81x+8x+9-180=0
We add all the numbers together, and all the variables
72x^2+89x-171=0
a = 72; b = 89; c = -171;
Δ = b2-4ac
Δ = 892-4·72·(-171)
Δ = 57169
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(89)-\sqrt{57169}}{2*72}=\frac{-89-\sqrt{57169}}{144} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(89)+\sqrt{57169}}{2*72}=\frac{-89+\sqrt{57169}}{144} $
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