(7x2)=69

Solution for (7x2)=69 equation:

(7x^2)=69

We move all terms to the left:

(7x^2)-(69)=0

a = 7; b = 0; c = -69;
Δ = b2-4ac
Δ = 02-4·7·(-69)
Δ = 1932
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:

$\sqrt{\Delta}=\sqrt{1932}=\sqrt{4*483}=\sqrt{4}*\sqrt{483}=2\sqrt{483}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{483}}{2*7}=\frac{0-2\sqrt{483}}{14}
=-\frac{2\sqrt{483}}{14}
=-\frac{\sqrt{483}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{483}}{2*7}=\frac{0+2\sqrt{483}}{14}
=\frac{2\sqrt{483}}{14}
=\frac{\sqrt{483}}{7}
$