6x^2=15x=0

Solution for 6x^2=15x=0 equation:

6x^2=15x=0

We move all terms to the left:

6x^2-(15x)=0

a = 6; b = -15; c = 0;
Δ = b2-4ac
Δ = -152-4·6·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-15}{2*6}=\frac{0}{12}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+15}{2*6}=\frac{30}{12}
=2+1/2
$