2/5x-18/2=-4x

Solution for 2/5x-18/2=-4x equation:

2/5x-18/2=-4x

We move all terms to the left:

2/5x-18/2-(-4x)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

2/5x-(-4x)-9=0

We get rid of parentheses

2/5x+4x-9=0

We multiply all the terms by the denominator


4x*5x-9*5x+2=0

Wy multiply elements

20x^2-45x+2=0

a = 20; b = -45; c = +2;
Δ = b2-4ac
Δ = -452-4·20·2
Δ = 1865
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-45)-\sqrt{1865}}{2*20}=\frac{45-\sqrt{1865}}{40}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+\sqrt{1865}}{2*20}=\frac{45+\sqrt{1865}}{40}
$