14x*x=429

Solution for 14x*x=429 equation:

14x*x=429

We move all terms to the left:

14x*x-(429)=0

Wy multiply elements

14x^2-429=0

a = 14; b = 0; c = -429;
Δ = b2-4ac
Δ = 02-4·14·(-429)
Δ = 24024
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:

$\sqrt{\Delta}=\sqrt{24024}=\sqrt{4*6006}=\sqrt{4}*\sqrt{6006}=2\sqrt{6006}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{6006}}{2*14}=\frac{0-2\sqrt{6006}}{28}
=-\frac{2\sqrt{6006}}{28}
=-\frac{\sqrt{6006}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{6006}}{2*14}=\frac{0+2\sqrt{6006}}{28}
=\frac{2\sqrt{6006}}{28}
=\frac{\sqrt{6006}}{14}
$