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(10x-26)(7x+10)=180
We move all terms to the left:
(10x-26)(7x+10)-(180)=0
We multiply parentheses ..
(+70x^2+100x-182x-260)-180=0
We get rid of parentheses
70x^2+100x-182x-260-180=0
We add all the numbers together, and all the variables
70x^2-82x-440=0
a = 70; b = -82; c = -440;
Δ = b2-4ac
Δ = -822-4·70·(-440)
Δ = 129924
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{129924}=\sqrt{324*401}=\sqrt{324}*\sqrt{401}=18\sqrt{401}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-82)-18\sqrt{401}}{2*70}=\frac{82-18\sqrt{401}}{140} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-82)+18\sqrt{401}}{2*70}=\frac{82+18\sqrt{401}}{140} $
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