(15/8)x+0.25=4

Solution for (15/8)x+0.25=4 equation:

(15/8)x+0.25=4

We move all terms to the left:

(15/8)x+0.25-(4)=0


Domain of the equation: 8)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+15/8)x+0.25-4=0

We add all the numbers together, and all the variables

(+15/8)x-3.75=0

We multiply parentheses

15x^2-3.75=0

a = 15; b = 0; c = -3.75;
Δ = b2-4ac
Δ = 02-4·15·(-3.75)
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-15}{2*15}=\frac{-15}{30}
=-1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+15}{2*15}=\frac{15}{30}
=1/2
$