y(10y+3)=18

Solution for y(10y+3)=18 equation:

Simplifying
y(10y + 3) = 18

Reorder the terms:
y(3 + 10y) = 18
(3 * y + 10y * y) = 18
(3y + 10y2) = 18

Solving
3y + 10y2 = 18

Solving for variable 'y'.

Reorder the terms:
-18 + 3y + 10y2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + 3y + 10y2 = 0

Factor a trinomial.
(-3 + -2y)(6 + -5y) = 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 + -5y)' equal to zero and attempt to solve:

Simplifying
6 + -5y = 0

Solving
6 + -5y = 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 + -5y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5y = 0 + -6
-5y = 0 + -6

Combine like terms: 0 + -6 = -6
-5y = -6

Divide each side by '-5'.
y = 1.2

Simplifying
y = 1.2
Solution
y = {-1.5, 1.2}