(8/6)y-33=66

Solution for (8/6)y-33=66 equation:

(8/6)y-33=66

We move all terms to the left:

(8/6)y-33-(66)=0


Domain of the equation: 6)y!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

(+8/6)y-33-66=0

We add all the numbers together, and all the variables

(+8/6)y-99=0

We multiply parentheses

8y^2-99=0

a = 8; b = 0; c = -99;
Δ = b2-4ac
Δ = 02-4·8·(-99)
Δ = 3168
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3168}=\sqrt{144*22}=\sqrt{144}*\sqrt{22}=12\sqrt{22}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{22}}{2*8}=\frac{0-12\sqrt{22}}{16}
=-\frac{12\sqrt{22}}{16}
=-\frac{3\sqrt{22}}{4}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{22}}{2*8}=\frac{0+12\sqrt{22}}{16}
=\frac{12\sqrt{22}}{16}
=\frac{3\sqrt{22}}{4}
$