(2x+3)(x)=350

Solution for (2x+3)(x)=350 equation:

(2x+3)(x)=350

We move all terms to the left:

(2x+3)(x)-(350)=0

We multiply parentheses

2x^2+3x-350=0

a = 2; b = 3; c = -350;
Δ = b2-4ac
Δ = 32-4·2·(-350)
Δ = 2809
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2809}=53$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-53}{2*2}=\frac{-56}{4}
=-14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+53}{2*2}=\frac{50}{4}
=12+1/2
$