3X*2x=10x*2x-6

Solution for 3X*2x=10x*2x-6 equation:

3X*2X=10X*2X-6

We move all terms to the left:

3X*2X-(10X*2X-6)=0

Wy multiply elements

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

We get rid of parentheses

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

Wy multiply elements

6X^2-20X^2+6=0

We add all the numbers together, and all the variables

-14X^2+6=0

a = -14; b = 0; c = +6;
Δ = b2-4ac
Δ = 02-4·(-14)·6
Δ = 336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{336}=\sqrt{16*21}=\sqrt{16}*\sqrt{21}=4\sqrt{21}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{21}}{2*-14}=\frac{0-4\sqrt{21}}{-28}
=-\frac{4\sqrt{21}}{-28}
=-\frac{\sqrt{21}}{-7}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{21}}{2*-14}=\frac{0+4\sqrt{21}}{-28}
=\frac{4\sqrt{21}}{-28}
=\frac{\sqrt{21}}{-7}
$