15k-10k^2=0

Solution for 15k-10k^2=0 equation:

15k-10k^2=0

a = -10; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·(-10)·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*-10}=\frac{-30}{-20}
=1+1/2
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*-10}=\frac{0}{-20}
=0
$