12x^2=10x+2

Solution for 12x^2=10x+2 equation:

12x^2=10x+2

We move all terms to the left:

12x^2-(10x+2)=0

We get rid of parentheses

12x^2-10x-2=0

a = 12; b = -10; c = -2;
Δ = b2-4ac
Δ = -102-4·12·(-2)
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-14}{2*12}=\frac{-4}{24}
=-1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+14}{2*12}=\frac{24}{24}
=1
$