-1,5x2+3,5x=-3

Solution for -1,5x2+3,5x=-3 equation:

-1.5x^2+3.5x=-3

We move all terms to the left:

-1.5x^2+3.5x-(-3)=0

We add all the numbers together, and all the variables

-1.5x^2+3.5x+3=0

a = -1.5; b = 3.5; c = +3;
Δ = b2-4ac
Δ = 3.52-4·(-1.5)·3
Δ = 30.25
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{-(3.5)-\sqrt{30.25}}{2*-1.5}=\frac{-3.5-\sqrt{30.25}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3.5)+\sqrt{30.25}}{2*-1.5}=\frac{-3.5+\sqrt{30.25}}{-3}
$