10x^2-44x=-16

Solution for 10x^2-44x=-16 equation:

10x^2-44x=-16

We move all terms to the left:

10x^2-44x-(-16)=0

We add all the numbers together, and all the variables

10x^2-44x+16=0

a = 10; b = -44; c = +16;
Δ = b2-4ac
Δ = -442-4·10·16
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-36}{2*10}=\frac{8}{20}
=2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+36}{2*10}=\frac{80}{20}
=4
$