46x=8x^2

Solution for 46x=8x^2 equation:

46x=8x^2

We move all terms to the left:

46x-(8x^2)=0

determiningTheFunctionDomain
-8x^2+46x=0

a = -8; b = 46; c = 0;
Δ = b2-4ac
Δ = 462-4·(-8)·0
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(46)-46}{2*-8}=\frac{-92}{-16}
=5+3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(46)+46}{2*-8}=\frac{0}{-16}
=0
$