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(9x+6)(4x+6)=180
We move all terms to the left:
(9x+6)(4x+6)-(180)=0
We multiply parentheses ..
(+36x^2+54x+24x+36)-180=0
We get rid of parentheses
36x^2+54x+24x+36-180=0
We add all the numbers together, and all the variables
36x^2+78x-144=0
a = 36; b = 78; c = -144;
Δ = b2-4ac
Δ = 782-4·36·(-144)
Δ = 26820
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{26820}=\sqrt{36*745}=\sqrt{36}*\sqrt{745}=6\sqrt{745}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(78)-6\sqrt{745}}{2*36}=\frac{-78-6\sqrt{745}}{72} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(78)+6\sqrt{745}}{2*36}=\frac{-78+6\sqrt{745}}{72} $
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