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(10x-26)(7x+7)=180
We move all terms to the left:
(10x-26)(7x+7)-(180)=0
We multiply parentheses ..
(+70x^2+70x-182x-182)-180=0
We get rid of parentheses
70x^2+70x-182x-182-180=0
We add all the numbers together, and all the variables
70x^2-112x-362=0
a = 70; b = -112; c = -362;
Δ = b2-4ac
Δ = -1122-4·70·(-362)
Δ = 113904
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{113904}=\sqrt{144*791}=\sqrt{144}*\sqrt{791}=12\sqrt{791}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-112)-12\sqrt{791}}{2*70}=\frac{112-12\sqrt{791}}{140} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-112)+12\sqrt{791}}{2*70}=\frac{112+12\sqrt{791}}{140} $
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