(1/4)x-3.2-x-4=0

Solution for (1/4)x-3.2-x-4=0 equation:

(1/4)x-3.2-x-4=0


Domain of the equation: 4)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+1/4)x-x-3.2-4=0

We add all the numbers together, and all the variables

-1x+(+1/4)x-7.2=0

We multiply parentheses

x^2-1x-7.2=0

a = 1; b = -1; c = -7.2;
Δ = b2-4ac
Δ = -12-4·1·(-7.2)
Δ = 29.8
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{-(-1)-\sqrt{29.8}}{2*1}=\frac{1-\sqrt{29.8}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{29.8}}{2*1}=\frac{1+\sqrt{29.8}}{2}
$