4/9x+1/45x=87

Solution for 4/9x+1/45x=87 equation:

4/9x+1/45x=87

We move all terms to the left:

4/9x+1/45x-(87)=0


Domain of the equation: 9x!=0

x!=0/9

x!=0

x∈R



Domain of the equation: 45x!=0

x!=0/45

x!=0

x∈R


We calculate fractions


180x/405x^2+9x/405x^2-87=0

We multiply all the terms by the denominator


180x+9x-87*405x^2=0

We add all the numbers together, and all the variables

189x-87*405x^2=0

Wy multiply elements

-35235x^2+189x=0

a = -35235; b = 189; c = 0;
Δ = b2-4ac
Δ = 1892-4·(-35235)·0
Δ = 35721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{35721}=189$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(189)-189}{2*-35235}=\frac{-378}{-70470}
=7/1305
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(189)+189}{2*-35235}=\frac{0}{-70470}
=0
$