3x^2-7=112

Solution for 3x^2-7=112 equation:

3x^2-7=112

We move all terms to the left:

3x^2-7-(112)=0

We add all the numbers together, and all the variables

3x^2-119=0

a = 3; b = 0; c = -119;
Δ = b2-4ac
Δ = 02-4·3·(-119)
Δ = 1428
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1428}=\sqrt{4*357}=\sqrt{4}*\sqrt{357}=2\sqrt{357}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{357}}{2*3}=\frac{0-2\sqrt{357}}{6}
=-\frac{2\sqrt{357}}{6}
=-\frac{\sqrt{357}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{357}}{2*3}=\frac{0+2\sqrt{357}}{6}
=\frac{2\sqrt{357}}{6}
=\frac{\sqrt{357}}{3}
$