30r2=15r

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Solution for 30r2=15r equation:



30r^2=15r
We move all terms to the left:
30r^2-(15r)=0
a = 30; b = -15; c = 0;
Δ = b2-4ac
Δ = -152-4·30·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-15}{2*30}=\frac{0}{60} =0 $
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+15}{2*30}=\frac{30}{60} =1/2 $

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