X(2x+3)=176

Solution for X(2x+3)=176 equation:

X(2X+3)=176

We move all terms to the left:

X(2X+3)-(176)=0

We multiply parentheses

2X^2+3X-176=0

a = 2; b = 3; c = -176;
Δ = b2-4ac
Δ = 32-4·2·(-176)
Δ = 1417
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{1417}}{2*2}=\frac{-3-\sqrt{1417}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{1417}}{2*2}=\frac{-3+\sqrt{1417}}{4}
$