/9h-12h=54-23

Solution for /9h-12h=54-23 equation:

/9h-12h=54-23

We move all terms to the left:

/9h-12h-(54-23)=0


Domain of the equation: 9h!=0

h!=0/9

h!=0

h∈R


We add all the numbers together, and all the variables

/9h-12h-31=0

We add all the numbers together, and all the variables

-12h+/9h-31=0

We multiply all the terms by the denominator


-12h*9h-31*9h+=0

We add all the numbers together, and all the variables

-12h*9h-31*9h=0

Wy multiply elements

-108h^2-279h=0

a = -108; b = -279; c = 0;
Δ = b2-4ac
Δ = -2792-4·(-108)·0
Δ = 77841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{77841}=279$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-279)-279}{2*-108}=\frac{0}{-216}
=0
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-279)+279}{2*-108}=\frac{558}{-216}
=-2+7/12
$