x^2+12x^2-3x-630=0

Solution for x^2+12x^2-3x-630=0 equation:

x^2+12x^2-3x-630=0

We add all the numbers together, and all the variables

13x^2-3x-630=0

a = 13; b = -3; c = -630;
Δ = b2-4ac
Δ = -32-4·13·(-630)
Δ = 32769
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:

$\sqrt{\Delta}=\sqrt{32769}=\sqrt{9*3641}=\sqrt{9}*\sqrt{3641}=3\sqrt{3641}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3\sqrt{3641}}{2*13}=\frac{3-3\sqrt{3641}}{26}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3\sqrt{3641}}{2*13}=\frac{3+3\sqrt{3641}}{26}
$