(y/4)-(y/10)=(9/4)

Solution for (y/4)-(y/10)=(9/4) equation:

(y/4)-(y/10)=(9/4)

We move all terms to the left:

(y/4)-(y/10)-((9/4))=0

We add all the numbers together, and all the variables

(+y/4)-(+y/10)-((+9/4))=0

We get rid of parentheses

y/4-y/10-((+9/4))=0

We calculate fractions


(-64y^2)/()+10y/()+()/()=0

We add all the numbers together, and all the variables

(-64y^2)/()+10y/()+1=0

We multiply all the terms by the denominator


(-64y^2)+10y+1*()=0

We add all the numbers together, and all the variables

(-64y^2)+10y=0

We get rid of parentheses

-64y^2+10y=0

a = -64; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-64)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*-64}=\frac{-20}{-128}
=5/32
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*-64}=\frac{0}{-128}
=0
$