2/3x2=294

Solution for 2/3x2=294 equation:

2/3x^2=294

We move all terms to the left:

2/3x^2-(294)=0


Domain of the equation: 3x^2!=0

x^2!=0/3

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-294*3x^2+2=0

Wy multiply elements

-882x^2+2=0

a = -882; b = 0; c = +2;
Δ = b2-4ac
Δ = 02-4·(-882)·2
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84}{2*-882}=\frac{-84}{-1764}
=1/21
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84}{2*-882}=\frac{84}{-1764}
=-1/21
$