-5/6h-2/3h=-24

Solution for -5/6h-2/3h=-24 equation:

-5/6h-2/3h=-24

We move all terms to the left:

-5/6h-2/3h-(-24)=0


Domain of the equation: 6h!=0

h!=0/6

h!=0

h∈R



Domain of the equation: 3h!=0

h!=0/3

h!=0

h∈R


We add all the numbers together, and all the variables

-5/6h-2/3h+24=0

We calculate fractions


(-15h)/18h^2+(-12h)/18h^2+24=0

We multiply all the terms by the denominator


(-15h)+(-12h)+24*18h^2=0

Wy multiply elements

432h^2+(-15h)+(-12h)=0

We get rid of parentheses

432h^2-15h-12h=0

We add all the numbers together, and all the variables

432h^2-27h=0

a = 432; b = -27; c = 0;
Δ = b2-4ac
Δ = -272-4·432·0
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-27}{2*432}=\frac{0}{864}
=0
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+27}{2*432}=\frac{54}{864}
=1/16
$