175=4x^2+60x

Solution for 175=4x^2+60x equation:

175=4x^2+60x

We move all terms to the left:

175-(4x^2+60x)=0

We get rid of parentheses

-4x^2-60x+175=0

a = -4; b = -60; c = +175;
Δ = b2-4ac
Δ = -602-4·(-4)·175
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-80}{2*-4}=\frac{-20}{-8}
=2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+80}{2*-4}=\frac{140}{-8}
=-17+1/2
$