x(5-4x)=-6

Solution for x(5-4x)=-6 equation:

x(5-4x)=-6

We move all terms to the left:

x(5-4x)-(-6)=0

We add all the numbers together, and all the variables

x(-4x+5)-(-6)=0

We add all the numbers together, and all the variables

x(-4x+5)+6=0

We multiply parentheses

-4x^2+5x+6=0

a = -4; b = 5; c = +6;
Δ = b2-4ac
Δ = 52-4·(-4)·6
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-11}{2*-4}=\frac{-16}{-8}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+11}{2*-4}=\frac{6}{-8}
=-3/4
$