18y^2-3y=10

Solution for 18y^2-3y=10 equation:

Simplifying
18y2 + -3y = 10

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

Solving
-3y + 18y2 = 10

Solving for variable 'y'.

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

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

Factor a trinomial.
(-2 + -3y)(5 + -6y) = 0

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

Simplifying
-2 + -3y = 0

Solving
-2 + -3y = 0

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

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

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

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

Divide each side by '-3'.
y = -0.6666666667

Simplifying
y = -0.6666666667
Subproblem 2
Set the factor '(5 + -6y)' equal to zero and attempt to solve:

Simplifying
5 + -6y = 0

Solving
5 + -6y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6y = 0 + -5

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

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

Divide each side by '-6'.
y = 0.8333333333

Simplifying
y = 0.8333333333
Solution
y = {-0.6666666667, 0.8333333333}