(5x+3)x=344

Solution for (5x+3)x=344 equation:

(5x+3)x=344

We move all terms to the left:

(5x+3)x-(344)=0

We multiply parentheses

5x^2+3x-344=0

a = 5; b = 3; c = -344;
Δ = b2-4ac
Δ = 32-4·5·(-344)
Δ = 6889
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6889}=83$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-83}{2*5}=\frac{-86}{10}
=-8+3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+83}{2*5}=\frac{80}{10}
=8
$