First, distribute the terms on the right side of the equation:
(8-9y)y = -40 + (6-3y)(6+3y)8y - 9y^2 = -40 + 36 + 18y - 18y^2
Next, combine like terms:
-9y^2 + 8y = -4 - 18y^2 + 18y
Now, move all terms to one side of the equation:
0 = -4 - 18y^2 + 18y + 9y^2 - 8y0 = 9y^2 + 10y - 4
Finally, rearrange the equation to get it in standard quadratic form:
9y^2 + 10y - 4 = 0
This is now a quadratic equation that can be solved using various methods such as factoring or the quadratic formula.
First, distribute the terms on the right side of the equation:
(8-9y)y = -40 + (6-3y)(6+3y)
8y - 9y^2 = -40 + 36 + 18y - 18y^2
Next, combine like terms:
-9y^2 + 8y = -4 - 18y^2 + 18y
Now, move all terms to one side of the equation:
0 = -4 - 18y^2 + 18y + 9y^2 - 8y
0 = 9y^2 + 10y - 4
Finally, rearrange the equation to get it in standard quadratic form:
9y^2 + 10y - 4 = 0
This is now a quadratic equation that can be solved using various methods such as factoring or the quadratic formula.