4x=5(x/1)-x

Solution for 4x=5(x/1)-x equation:

4x=5(x/1)-x

We move all terms to the left:

4x-(5(x/1)-x)=0


Domain of the equation: 1)-x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

4x-(5(+x/1)-x)=0

We multiply all the terms by the denominator


4x*1)-x)-(5(+x=0

We add all the numbers together, and all the variables

x+4x*1)-x)-(5(=0

Wy multiply elements

4x^2+x=0

a = 4; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·4·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*4}=\frac{-2}{8}
=-1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*4}=\frac{0}{8}
=0
$