2.5x^2=4.75x-2.2

Solution for 2.5x^2=4.75x-2.2 equation:

2.5x^2=4.75x-2.2

We move all terms to the left:

2.5x^2-(4.75x-2.2)=0

We get rid of parentheses

2.5x^2-4.75x+2.2=0

a = 2.5; b = -4.75; c = +2.2;
Δ = b2-4ac
Δ = -4.752-4·2.5·2.2
Δ = 0.5625
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{-(-4.75)-\sqrt{0.5625}}{2*2.5}=\frac{4.75-\sqrt{0.5625}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.75)+\sqrt{0.5625}}{2*2.5}=\frac{4.75+\sqrt{0.5625}}{5}
$