-835/81x^2+376=-459

Solution for -835/81x^2+376=-459 equation:

-835/81x^2+376=-459

We move all terms to the left:

-835/81x^2+376-(-459)=0


Domain of the equation: 81x^2!=0

x^2!=0/81

x^2!=√0

x!=0

x∈R


We add all the numbers together, and all the variables

-835/81x^2+835=0

We multiply all the terms by the denominator


835*81x^2-835=0

Wy multiply elements

67635x^2-835=0

a = 67635; b = 0; c = -835;
Δ = b2-4ac
Δ = 02-4·67635·(-835)
Δ = 225900900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225900900}=15030$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-15030}{2*67635}=\frac{-15030}{135270}
=-1/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+15030}{2*67635}=\frac{15030}{135270}
=1/9
$