(0.75y)(5y)=8.25

Solution for (0.75y)(5y)=8.25 equation:

(0.75y)(5y)=8.25

We move all terms to the left:

(0.75y)(5y)-(8.25)=0

We add all the numbers together, and all the variables

(+0.75y)5y-(8.25)=0

We add all the numbers together, and all the variables

(+0.75y)5y-8.25=0

We multiply parentheses

0y^2-8.25=0

We add all the numbers together, and all the variables

y^2-8.25=0

a = 1; b = 0; c = -8.25;
Δ = b2-4ac
Δ = 02-4·1·(-8.25)
Δ = 33
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{33}}{2*1}=\frac{0-\sqrt{33}}{2}
=-\frac{\sqrt{}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{33}}{2*1}=\frac{0+\sqrt{33}}{2}
=\frac{\sqrt{}}{2}
$