176=x^2=3x

Solution for 176=x^2=3x equation:

176=x^2=3x

We move all terms to the left:

176-(x^2)=0

We add all the numbers together, and all the variables

-1x^2+176=0

a = -1; b = 0; c = +176;
Δ = b2-4ac
Δ = 02-4·(-1)·176
Δ = 704
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:

$\sqrt{\Delta}=\sqrt{704}=\sqrt{64*11}=\sqrt{64}*\sqrt{11}=8\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{11}}{2*-1}=\frac{0-8\sqrt{11}}{-2}
=-\frac{8\sqrt{11}}{-2}
=-\frac{4\sqrt{11}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{11}}{2*-1}=\frac{0+8\sqrt{11}}{-2}
=\frac{8\sqrt{11}}{-2}
=\frac{4\sqrt{11}}{-1}
$