X=15x^2-12x+2

Solution for X=15x^2-12x+2 equation:

X=15X^2-12X+2

We move all terms to the left:

X-(15X^2-12X+2)=0

We get rid of parentheses

-15X^2+X+12X-2=0

We add all the numbers together, and all the variables

-15X^2+13X-2=0

a = -15; b = 13; c = -2;
Δ = b2-4ac
Δ = 132-4·(-15)·(-2)
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-7}{2*-15}=\frac{-20}{-30}
=2/3
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+7}{2*-15}=\frac{-6}{-30}
=1/5
$