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(5x+20)3x=360
We move all terms to the left:
(5x+20)3x-(360)=0
We multiply parentheses
15x^2+60x-360=0
a = 15; b = 60; c = -360;
Δ = b2-4ac
Δ = 602-4·15·(-360)
Δ = 25200
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{25200}=\sqrt{3600*7}=\sqrt{3600}*\sqrt{7}=60\sqrt{7}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-60\sqrt{7}}{2*15}=\frac{-60-60\sqrt{7}}{30} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+60\sqrt{7}}{2*15}=\frac{-60+60\sqrt{7}}{30} $
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