-(5/9)x+21=-44

Solution for -(5/9)x+21=-44 equation:

-(5/9)x+21=-44

We move all terms to the left:

-(5/9)x+21-(-44)=0


Domain of the equation: 9)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+5/9)x+21-(-44)=0

We add all the numbers together, and all the variables

-(+5/9)x+65=0

We multiply parentheses

-5x^2+65=0

a = -5; b = 0; c = +65;
Δ = b2-4ac
Δ = 02-4·(-5)·65
Δ = 1300
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1300}=\sqrt{100*13}=\sqrt{100}*\sqrt{13}=10\sqrt{13}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{13}}{2*-5}=\frac{0-10\sqrt{13}}{-10}
=-\frac{10\sqrt{13}}{-10}
=-\frac{\sqrt{13}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{13}}{2*-5}=\frac{0+10\sqrt{13}}{-10}
=\frac{10\sqrt{13}}{-10}
=\frac{\sqrt{13}}{-1}
$