14x=7x*2x

Solution for 14x=7x*2x equation:

14x=7x*2x

We move all terms to the left:

14x-(7x*2x)=0

We add all the numbers together, and all the variables

14x-(+7x*2x)=0

We get rid of parentheses

14x-7x*2x=0

Wy multiply elements

-14x^2+14x=0

a = -14; b = 14; c = 0;
Δ = b2-4ac
Δ = 142-4·(-14)·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-14}{2*-14}=\frac{-28}{-28}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+14}{2*-14}=\frac{0}{-28}
=0
$