0.25x^2+1.5=1.25x

Solution for 0.25x^2+1.5=1.25x equation:

0.25x^2+1.5=1.25x

We move all terms to the left:

0.25x^2+1.5-(1.25x)=0

We add all the numbers together, and all the variables

0.25x^2-(+1.25x)+1.5=0

We get rid of parentheses

0.25x^2-1.25x+1.5=0

a = 0.25; b = -1.25; c = +1.5;
Δ = b2-4ac
Δ = -1.252-4·0.25·1.5
Δ = 0.0625
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{-(-1.25)-\sqrt{0.0625}}{2*0.25}=\frac{1.25-\sqrt{0.0625}}{0.5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.25)+\sqrt{0.0625}}{2*0.25}=\frac{1.25+\sqrt{0.0625}}{0.5}
$