y(2y-15)=-18

Solution for y(2y-15)=-18 equation:

Simplifying
y(2y + -15) = -18

Reorder the terms:
y(-15 + 2y) = -18
(-15 * y + 2y * y) = -18
(-15y + 2y2) = -18

Solving
-15y + 2y2 = -18

Solving for variable 'y'.

Reorder the terms:
18 + -15y + 2y2 = -18 + 18

Combine like terms: -18 + 18 = 0
18 + -15y + 2y2 = 0

Factor a trinomial.
(3 + -2y)(6 + -1y) = 0

Subproblem 1
Set the factor '(3 + -2y)' equal to zero and attempt to solve:

Simplifying
3 + -2y = 0

Solving
3 + -2y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2y = 0 + -3
-2y = 0 + -3

Combine like terms: 0 + -3 = -3
-2y = -3

Divide each side by '-2'.
y = 1.5

Simplifying
y = 1.5
Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6
Solution
y = {1.5, 6}