x^2-30x2+216=0

Solution for x^2-30x2+216=0 equation:

x^2-30x^2+216=0

We add all the numbers together, and all the variables

-29x^2+216=0

a = -29; b = 0; c = +216;
Δ = b2-4ac
Δ = 02-4·(-29)·216
Δ = 25056
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:

$\sqrt{\Delta}=\sqrt{25056}=\sqrt{144*174}=\sqrt{144}*\sqrt{174}=12\sqrt{174}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{174}}{2*-29}=\frac{0-12\sqrt{174}}{-58}
=-\frac{12\sqrt{174}}{-58}
=-\frac{6\sqrt{174}}{-29}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{174}}{2*-29}=\frac{0+12\sqrt{174}}{-58}
=\frac{12\sqrt{174}}{-58}
=\frac{6\sqrt{174}}{-29}
$