(-15/30)u-(10/30)=-42/30

Solution for (-15/30)u-(10/30)=-42/30 equation:

(-15/30)u-(10/30)=-42/30

We move all terms to the left:

(-15/30)u-(10/30)-(-42/30)=0


Domain of the equation: 30)u!=0

u!=0/1

u!=0

u∈R


We add all the numbers together, and all the variables

(-15/30)u-(+10/30)-(-42/30)=0

We multiply parentheses

-15u^2-(+10/30)-(-42/30)=0

We get rid of parentheses

-15u^2-10/30+42/30=0

We multiply all the terms by the denominator


-15u^2*30-10+42=0

We add all the numbers together, and all the variables

-15u^2*30+32=0

Wy multiply elements

-450u^2+32=0

a = -450; b = 0; c = +32;
Δ = b2-4ac
Δ = 02-4·(-450)·32
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*-450}=\frac{-240}{-900}
=4/15
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*-450}=\frac{240}{-900}
=-4/15
$