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(7x-4)(5x+10)=180
We move all terms to the left:
(7x-4)(5x+10)-(180)=0
We multiply parentheses ..
(+35x^2+70x-20x-40)-180=0
We get rid of parentheses
35x^2+70x-20x-40-180=0
We add all the numbers together, and all the variables
35x^2+50x-220=0
a = 35; b = 50; c = -220;
Δ = b2-4ac
Δ = 502-4·35·(-220)
Δ = 33300
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{33300}=\sqrt{900*37}=\sqrt{900}*\sqrt{37}=30\sqrt{37}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-30\sqrt{37}}{2*35}=\frac{-50-30\sqrt{37}}{70} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+30\sqrt{37}}{2*35}=\frac{-50+30\sqrt{37}}{70} $
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