X=1.054+.25(80*x/4)

Solution for X=1.054+.25(80*x/4) equation:

X=1.054+.25(80X/4)

We move all terms to the left:

X-(1.054+.25(80X/4))=0

We add all the numbers together, and all the variables

X-(1.054+.25(+80X/4))=0

We multiply all the terms by the denominator


X*4))-(1.054+.25(+80X=0

We add all the numbers together, and all the variables

80X+X*4))-(1.054+.25(=0

Wy multiply elements

4X^2+80X=0

a = 4; b = 80; c = 0;
Δ = b2-4ac
Δ = 802-4·4·0
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(80)-80}{2*4}=\frac{-160}{8}
=-20
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(80)+80}{2*4}=\frac{0}{8}
=0
$