3x^2-3=150

Solution for 3x^2-3=150 equation:

3x^2-3=150

We move all terms to the left:

3x^2-3-(150)=0

We add all the numbers together, and all the variables

3x^2-153=0

a = 3; b = 0; c = -153;
Δ = b2-4ac
Δ = 02-4·3·(-153)
Δ = 1836
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:

$\sqrt{\Delta}=\sqrt{1836}=\sqrt{36*51}=\sqrt{36}*\sqrt{51}=6\sqrt{51}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{51}}{2*3}=\frac{0-6\sqrt{51}}{6}
=-\frac{6\sqrt{51}}{6}
=-\sqrt{51}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{51}}{2*3}=\frac{0+6\sqrt{51}}{6}
=\frac{6\sqrt{51}}{6}
=\sqrt{51}
$