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(7x-1)(9x+5)=180
We move all terms to the left:
(7x-1)(9x+5)-(180)=0
We multiply parentheses ..
(+63x^2+35x-9x-5)-180=0
We get rid of parentheses
63x^2+35x-9x-5-180=0
We add all the numbers together, and all the variables
63x^2+26x-185=0
a = 63; b = 26; c = -185;
Δ = b2-4ac
Δ = 262-4·63·(-185)
Δ = 47296
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{47296}=\sqrt{64*739}=\sqrt{64}*\sqrt{739}=8\sqrt{739}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-8\sqrt{739}}{2*63}=\frac{-26-8\sqrt{739}}{126} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+8\sqrt{739}}{2*63}=\frac{-26+8\sqrt{739}}{126} $
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