12x2-63=-x

Solution for 12x2-63=-x equation:

12x^2-63=-x

We move all terms to the left:

12x^2-63-(-x)=0

We add all the numbers together, and all the variables

12x^2-(-1x)-63=0

We get rid of parentheses

12x^2+1x-63=0

We add all the numbers together, and all the variables

12x^2+x-63=0

a = 12; b = 1; c = -63;
Δ = b2-4ac
Δ = 12-4·12·(-63)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-55}{2*12}=\frac{-56}{24}
=-2+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+55}{2*12}=\frac{54}{24}
=2+1/4
$