(4+3x)x=175

Solution for (4+3x)x=175 equation:

(4+3x)x=175

We move all terms to the left:

(4+3x)x-(175)=0

We add all the numbers together, and all the variables

(3x+4)x-175=0

We multiply parentheses

3x^2+4x-175=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{-50}{6}
=-8+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+46}{2*3}=\frac{42}{6}
=7
$