14x^2-882=0

Solution for 14x^2-882=0 equation:

14x^2-882=0

a = 14; b = 0; c = -882;
Δ = b2-4ac
Δ = 02-4·14·(-882)
Δ = 49392
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:

$\sqrt{\Delta}=\sqrt{49392}=\sqrt{7056*7}=\sqrt{7056}*\sqrt{7}=84\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84\sqrt{7}}{2*14}=\frac{0-84\sqrt{7}}{28}
=-\frac{84\sqrt{7}}{28}
=-3\sqrt{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84\sqrt{7}}{2*14}=\frac{0+84\sqrt{7}}{28}
=\frac{84\sqrt{7}}{28}
=3\sqrt{7}
$