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(5x+3)7x=180
We move all terms to the left:
(5x+3)7x-(180)=0
We multiply parentheses
35x^2+21x-180=0
a = 35; b = 21; c = -180;
Δ = b2-4ac
Δ = 212-4·35·(-180)
Δ = 25641
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{25641}=\sqrt{9*2849}=\sqrt{9}*\sqrt{2849}=3\sqrt{2849}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-3\sqrt{2849}}{2*35}=\frac{-21-3\sqrt{2849}}{70} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+3\sqrt{2849}}{2*35}=\frac{-21+3\sqrt{2849}}{70} $
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