11x=14x^2

Solution for 11x=14x^2 equation:

11x=14x^2

We move all terms to the left:

11x-(14x^2)=0

determiningTheFunctionDomain
-14x^2+11x=0

a = -14; b = 11; c = 0;
Δ = b2-4ac
Δ = 112-4·(-14)·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-11}{2*-14}=\frac{-22}{-28}
=11/14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+11}{2*-14}=\frac{0}{-28}
=0
$