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(17x+7)(9x+5)=180
We move all terms to the left:
(17x+7)(9x+5)-(180)=0
We multiply parentheses ..
(+153x^2+85x+63x+35)-180=0
We get rid of parentheses
153x^2+85x+63x+35-180=0
We add all the numbers together, and all the variables
153x^2+148x-145=0
a = 153; b = 148; c = -145;
Δ = b2-4ac
Δ = 1482-4·153·(-145)
Δ = 110644
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{110644}=\sqrt{4*27661}=\sqrt{4}*\sqrt{27661}=2\sqrt{27661}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(148)-2\sqrt{27661}}{2*153}=\frac{-148-2\sqrt{27661}}{306} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(148)+2\sqrt{27661}}{2*153}=\frac{-148+2\sqrt{27661}}{306} $
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