0,5x^2=3,5x

Solution for 0,5x^2=3,5x equation:

0.5x^2=3.5x

We move all terms to the left:

0.5x^2-(3.5x)=0

We add all the numbers together, and all the variables

0.5x^2-(+3.5x)=0

We get rid of parentheses

0.5x^2-3.5x=0

a = 0.5; b = -3.5; c = 0;
Δ = b2-4ac
Δ = -3.52-4·0.5·0
Δ = 12.25
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{-(-3.5)-\sqrt{12.25}}{2*0.5}=\frac{3.5-\sqrt{12.25}}{1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.5)+\sqrt{12.25}}{2*0.5}=\frac{3.5+\sqrt{12.25}}{1}
$