X(6x-2)=10x

Solution for X(6x-2)=10x equation:

X(6X-2)=10X

We move all terms to the left:

X(6X-2)-(10X)=0

We add all the numbers together, and all the variables

-10X+X(6X-2)=0

We multiply parentheses

6X^2-10X-2X=0

We add all the numbers together, and all the variables

6X^2-12X=0

a = 6; b = -12; c = 0;
Δ = b2-4ac
Δ = -122-4·6·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-12}{2*6}=\frac{0}{12}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+12}{2*6}=\frac{24}{12}
=2
$