15x^2-12x-3=-3

Solution for 15x^2-12x-3=-3 equation:

15x^2-12x-3=-3

We move all terms to the left:

15x^2-12x-3-(-3)=0

We add all the numbers together, and all the variables

15x^2-12x=0

a = 15; b = -12; c = 0;
Δ = b2-4ac
Δ = -122-4·15·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-12}{2*15}=\frac{0}{30}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+12}{2*15}=\frac{24}{30}
=4/5
$