(2x+3)x=22

Solution for (2x+3)x=22 equation:

(2x+3)x=22

We move all terms to the left:

(2x+3)x-(22)=0

We multiply parentheses

2x^2+3x-22=0

a = 2; b = 3; c = -22;
Δ = b2-4ac
Δ = 32-4·2·(-22)
Δ = 185
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{185}}{2*2}=\frac{-3-\sqrt{185}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{185}}{2*2}=\frac{-3+\sqrt{185}}{4}
$