17y-5y^2-12=0

Solution for 17y-5y^2-12=0 equation:

Simplifying
17y + -5y2 + -12 = 0

Reorder the terms:
-12 + 17y + -5y2 = 0

Solving
-12 + 17y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-12 + 5y)(1 + -1y) = 0

Subproblem 1
Set the factor '(-12 + 5y)' equal to zero and attempt to solve:

Simplifying
-12 + 5y = 0

Solving
-12 + 5y = 0

Move all terms containing y to the left, all other terms to the right.

Add '12' to each side of the equation.
-12 + 12 + 5y = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 5y = 0 + 12
5y = 0 + 12

Combine like terms: 0 + 12 = 12
5y = 12

Divide each side by '5'.
y = 2.4

Simplifying
y = 2.4
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1y = 0 + -1
-1y = 0 + -1

Combine like terms: 0 + -1 = -1
-1y = -1

Divide each side by '-1'.
y = 1

Simplifying
y = 1
Solution
y = {2.4, 1}