(10x^2)+3=363

Solution for (10x^2)+3=363 equation:

(10x^2)+3=363

We move all terms to the left:

(10x^2)+3-(363)=0

We add all the numbers together, and all the variables

10x^2-360=0

a = 10; b = 0; c = -360;
Δ = b2-4ac
Δ = 02-4·10·(-360)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*10}=\frac{-120}{20}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*10}=\frac{120}{20}
=6
$