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(2x+15)(2x+7)=713
We move all terms to the left:
(2x+15)(2x+7)-(713)=0
We multiply parentheses ..
(+4x^2+14x+30x+105)-713=0
We get rid of parentheses
4x^2+14x+30x+105-713=0
We add all the numbers together, and all the variables
4x^2+44x-608=0
a = 4; b = 44; c = -608;
Δ = b2-4ac
Δ = 442-4·4·(-608)
Δ = 11664
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{11664}=108$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-108}{2*4}=\frac{-152}{8} =-19 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+108}{2*4}=\frac{64}{8} =8 $
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