9=7x^2

Solution for 9=7x^2 equation:

9=7x^2

We move all terms to the left:

9-(7x^2)=0

a = -7; b = 0; c = +9;
Δ = b2-4ac
Δ = 02-4·(-7)·9
Δ = 252
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:

$\sqrt{\Delta}=\sqrt{252}=\sqrt{36*7}=\sqrt{36}*\sqrt{7}=6\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{7}}{2*-7}=\frac{0-6\sqrt{7}}{-14}
=-\frac{6\sqrt{7}}{-14}
=-\frac{3\sqrt{7}}{-7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{7}}{2*-7}=\frac{0+6\sqrt{7}}{-14}
=\frac{6\sqrt{7}}{-14}
=\frac{3\sqrt{7}}{-7}
$