2.5x=2x^2

Solution for 2.5x=2x^2 equation:

2.5x=2x^2

We move all terms to the left:

2.5x-(2x^2)=0

determiningTheFunctionDomain
-2x^2+2.5x=0

a = -2; b = 2.5; c = 0;
Δ = b2-4ac
Δ = 2.52-4·(-2)·0
Δ = 6.25
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{-(2.5)-\sqrt{6.25}}{2*-2}=\frac{-2.5-\sqrt{6.25}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.5)+\sqrt{6.25}}{2*-2}=\frac{-2.5+\sqrt{6.25}}{-4}
$