5x^2+12x=44

Solution for 5x^2+12x=44 equation:

5x^2+12x=44

We move all terms to the left:

5x^2+12x-(44)=0

a = 5; b = 12; c = -44;
Δ = b2-4ac
Δ = 122-4·5·(-44)
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-32}{2*5}=\frac{-44}{10}
=-4+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+32}{2*5}=\frac{20}{10}
=2
$