5x-4x(x+2)=-3

Solution for 5x-4x(x+2)=-3 equation:

5x-4x(x+2)=-3

We move all terms to the left:

5x-4x(x+2)-(-3)=0

We add all the numbers together, and all the variables

5x-4x(x+2)+3=0

We multiply parentheses

-4x^2+5x-8x+3=0

We add all the numbers together, and all the variables

-4x^2-3x+3=0

a = -4; b = -3; c = +3;
Δ = b2-4ac
Δ = -32-4·(-4)·3
Δ = 57
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)-\sqrt{57}}{2*-4}=\frac{3-\sqrt{57}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{57}}{2*-4}=\frac{3+\sqrt{57}}{-8}
$