3x^2-751=332

Solution for 3x^2-751=332 equation:

3x^2-751=332

We move all terms to the left:

3x^2-751-(332)=0

We add all the numbers together, and all the variables

3x^2-1083=0

a = 3; b = 0; c = -1083;
Δ = b2-4ac
Δ = 02-4·3·(-1083)
Δ = 12996
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12996}=114$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-114}{2*3}=\frac{-114}{6}
=-19
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+114}{2*3}=\frac{114}{6}
=19
$