X(4x-6)=40

Solution for X(4x-6)=40 equation:

X(4X-6)=40

We move all terms to the left:

X(4X-6)-(40)=0

We multiply parentheses

4X^2-6X-40=0

a = 4; b = -6; c = -40;
Δ = b2-4ac
Δ = -62-4·4·(-40)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-26}{2*4}=\frac{-20}{8}
=-2+1/2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+26}{2*4}=\frac{32}{8}
=4
$