4x(1/12)=x

Solution for 4x(1/12)=x equation:

4x(1/12)=x

We move all terms to the left:

4x(1/12)-(x)=0

We add all the numbers together, and all the variables

4x(+1/12)-x=0

We add all the numbers together, and all the variables

-1x+4x(+1/12)=0

We multiply parentheses

4x^2-1x=0

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

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*4}=\frac{0}{8}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*4}=\frac{2}{8}
=1/4
$