-4.9x^2=3.6x

Solution for -4.9x^2=3.6x equation:

-4.9x^2=3.6x

We move all terms to the left:

-4.9x^2-(3.6x)=0

We add all the numbers together, and all the variables

-4.9x^2-(+3.6x)=0

We get rid of parentheses

-4.9x^2-3.6x=0

a = -4.9; b = -3.6; c = 0;
Δ = b2-4ac
Δ = -3.62-4·(-4.9)·0
Δ = 12.96
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{-(-3.6)-\sqrt{12.96}}{2*-4.9}=\frac{3.6-\sqrt{12.96}}{-9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3.6)+\sqrt{12.96}}{2*-4.9}=\frac{3.6+\sqrt{12.96}}{-9.8}
$