5x^2=x+0.15

Solution for 5x^2=x+0.15 equation:

5x^2=x+0.15

We move all terms to the left:

5x^2-(x+0.15)=0

We get rid of parentheses

5x^2-x-0.15=0

We add all the numbers together, and all the variables

5x^2-1x-0.15=0

a = 5; b = -1; c = -0.15;
Δ = b2-4ac
Δ = -12-4·5·(-0.15)
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-2}{2*5}=\frac{-1}{10}
=-1/10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+2}{2*5}=\frac{3}{10}
=3/10
$