3x^2-5x-3=-3.6x+3

Solution for 3x^2-5x-3=-3.6x+3 equation:

3x^2-5x-3=-3.6x+3

We move all terms to the left:

3x^2-5x-3-(-3.6x+3)=0

We get rid of parentheses

3x^2-5x+3.6x-3-3=0

We add all the numbers together, and all the variables

3x^2-1.4x-6=0

a = 3; b = -1.4; c = -6;
Δ = b2-4ac
Δ = -1.42-4·3·(-6)
Δ = 73.96
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{-(-1.4)-\sqrt{73.96}}{2*3}=\frac{1.4-\sqrt{73.96}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.4)+\sqrt{73.96}}{2*3}=\frac{1.4+\sqrt{73.96}}{6}
$