6x^2=76.32

Solution for 6x^2=76.32 equation:

6x^2=76.32

We move all terms to the left:

6x^2-(76.32)=0

We add all the numbers together, and all the variables

6x^2-76.32=0

a = 6; b = 0; c = -76.32;
Δ = b2-4ac
Δ = 02-4·6·(-76.32)
Δ = 1831.68
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{1831.68}}{2*6}=\frac{0-\sqrt{1831.68}}{12}
=-\frac{\sqrt{}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{1831.68}}{2*6}=\frac{0+\sqrt{1831.68}}{12}
=\frac{\sqrt{}}{12}
$