u/36=4u*

Solution for u/36=4u* equation:

u/36=4u*

We move all terms to the left:

u/36-(4u*)=0

We add all the numbers together, and all the variables

u/36-(+4u*)=0

We get rid of parentheses

u/36-4u*=0

We multiply all the terms by the denominator


u-(4u*)*36=0

We add all the numbers together, and all the variables

u-(+4u*)*36=0

We multiply parentheses

-144u^2+u=0

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

$\sqrt{\Delta}=\sqrt{1}=1$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-144}=\frac{-2}{-288}
=1/144
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-144}=\frac{0}{-288}
=0
$