6y^2-23y+10=0

Solution for 6y^2-23y+10=0 equation:

Simplifying
6y2 + -23y + 10 = 0

Reorder the terms:
10 + -23y + 6y2 = 0

Solving
10 + -23y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -2y)(10 + -3y) = 0

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

Simplifying
1 + -2y = 0

Solving
1 + -2y = 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 + -2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2y = 0 + -1
-2y = 0 + -1

Combine like terms: 0 + -1 = -1
-2y = -1

Divide each side by '-2'.
y = 0.5

Simplifying
y = 0.5
Subproblem 2
Set the factor '(10 + -3y)' equal to zero and attempt to solve:

Simplifying
10 + -3y = 0

Solving
10 + -3y = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3y = 0 + -10

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

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

Divide each side by '-3'.
y = 3.333333333

Simplifying
y = 3.333333333
Solution
y = {0.5, 3.333333333}