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(2x+5)(7x-25)=180
We move all terms to the left:
(2x+5)(7x-25)-(180)=0
We multiply parentheses ..
(+14x^2-50x+35x-125)-180=0
We get rid of parentheses
14x^2-50x+35x-125-180=0
We add all the numbers together, and all the variables
14x^2-15x-305=0
a = 14; b = -15; c = -305;
Δ = b2-4ac
Δ = -152-4·14·(-305)
Δ = 17305
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-\sqrt{17305}}{2*14}=\frac{15-\sqrt{17305}}{28} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{17305}}{2*14}=\frac{15+\sqrt{17305}}{28} $
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