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(5x+10)(5x-5)=180
We move all terms to the left:
(5x+10)(5x-5)-(180)=0
We multiply parentheses ..
(+25x^2-25x+50x-50)-180=0
We get rid of parentheses
25x^2-25x+50x-50-180=0
We add all the numbers together, and all the variables
25x^2+25x-230=0
a = 25; b = 25; c = -230;
Δ = b2-4ac
Δ = 252-4·25·(-230)
Δ = 23625
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{23625}=\sqrt{225*105}=\sqrt{225}*\sqrt{105}=15\sqrt{105}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-15\sqrt{105}}{2*25}=\frac{-25-15\sqrt{105}}{50} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+15\sqrt{105}}{2*25}=\frac{-25+15\sqrt{105}}{50} $
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