3x^2-x-26=2x^2

Solution for 3x^2-x-26=2x^2 equation:

3x^2-x-26=2x^2

We move all terms to the left:

3x^2-x-26-(2x^2)=0

determiningTheFunctionDomain
3x^2-2x^2-x-26=0

We add all the numbers together, and all the variables

x^2-1x-26=0

a = 1; b = -1; c = -26;
Δ = b2-4ac
Δ = -12-4·1·(-26)
Δ = 105
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{-(-1)-\sqrt{105}}{2*1}=\frac{1-\sqrt{105}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{105}}{2*1}=\frac{1+\sqrt{105}}{2}
$