x(2x+3)=779

Solution for x(2x+3)=779 equation:

x(2x+3)=779

We move all terms to the left:

x(2x+3)-(779)=0

We multiply parentheses

2x^2+3x-779=0

a = 2; b = 3; c = -779;
Δ = b2-4ac
Δ = 32-4·2·(-779)
Δ = 6241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6241}=79$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-79}{2*2}=\frac{-82}{4}
=-20+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+79}{2*2}=\frac{76}{4}
=19
$