175-3x^2=4x

Solution for 175-3x^2=4x equation:

175-3x^2=4x

We move all terms to the left:

175-3x^2-(4x)=0

a = -3; b = -4; c = +175;
Δ = b2-4ac
Δ = -42-4·(-3)·175
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{-(-4)-46}{2*-3}=\frac{-42}{-6}
=+7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+46}{2*-3}=\frac{50}{-6}
=-8+1/3
$