159=-3+2a^2

Solution for 159=-3+2a^2 equation:

159=-3+2a^2

We move all terms to the left:

159-(-3+2a^2)=0

We get rid of parentheses

-2a^2+3+159=0

We add all the numbers together, and all the variables

-2a^2+162=0

a = -2; b = 0; c = +162;
Δ = b2-4ac
Δ = 02-4·(-2)·162
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36}{2*-2}=\frac{-36}{-4}
=+9
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36}{2*-2}=\frac{36}{-4}
=-9
$