x*14x=350

Solution for x*14x=350 equation:

x*14x=350

We move all terms to the left:

x*14x-(350)=0

Wy multiply elements

14x^2-350=0

a = 14; b = 0; c = -350;
Δ = b2-4ac
Δ = 02-4·14·(-350)
Δ = 19600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{19600}=140$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-140}{2*14}=\frac{-140}{28}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+140}{2*14}=\frac{140}{28}
=5
$