6x^2-672=x^2+32(979)

Solution for 6x^2-672=x^2+32(979) equation:

6x^2-672=x^2+32(979)

We move all terms to the left:

6x^2-672-(x^2+32(979))=0

We get rid of parentheses

6x^2-x^2-32979-672=0

We add all the numbers together, and all the variables

5x^2-33651=0

a = 5; b = 0; c = -33651;
Δ = b2-4ac
Δ = 02-4·5·(-33651)
Δ = 673020
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:

$\sqrt{\Delta}=\sqrt{673020}=\sqrt{36*18695}=\sqrt{36}*\sqrt{18695}=6\sqrt{18695}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{18695}}{2*5}=\frac{0-6\sqrt{18695}}{10}
=-\frac{6\sqrt{18695}}{10}
=-\frac{3\sqrt{18695}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{18695}}{2*5}=\frac{0+6\sqrt{18695}}{10}
=\frac{6\sqrt{18695}}{10}
=\frac{3\sqrt{18695}}{5}
$