-4.9x^2=1.55x-2

Solution for -4.9x^2=1.55x-2 equation:

-4.9x^2=1.55x-2

We move all terms to the left:

-4.9x^2-(1.55x-2)=0

We get rid of parentheses

-4.9x^2-1.55x+2=0

a = -4.9; b = -1.55; c = +2;
Δ = b2-4ac
Δ = -1.552-4·(-4.9)·2
Δ = 41.6025
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{-(-1.55)-\sqrt{41.6025}}{2*-4.9}=\frac{1.55-\sqrt{41.6025}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.55)+\sqrt{41.6025}}{2*-4.9}=\frac{1.55+\sqrt{41.6025}}{-9.8}
$