6y^2+11-10=(2y+5)

Solution for 6y^2+11-10=(2y+5) equation:

Simplifying
6y2 + 11 + -10 = (2y + 5)

Reorder the terms:
11 + -10 + 6y2 = (2y + 5)

Combine like terms: 11 + -10 = 1
1 + 6y2 = (2y + 5)

Reorder the terms:
1 + 6y2 = (5 + 2y)

Remove parenthesis around (5 + 2y)
1 + 6y2 = 5 + 2y

Solving
1 + 6y2 = 5 + 2y

Solving for variable 'y'.

Reorder the terms:
1 + -5 + -2y + 6y2 = 5 + 2y + -5 + -2y

Combine like terms: 1 + -5 = -4
-4 + -2y + 6y2 = 5 + 2y + -5 + -2y

Reorder the terms:
-4 + -2y + 6y2 = 5 + -5 + 2y + -2y

Combine like terms: 5 + -5 = 0
-4 + -2y + 6y2 = 0 + 2y + -2y
-4 + -2y + 6y2 = 2y + -2y

Combine like terms: 2y + -2y = 0
-4 + -2y + 6y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -1y + 3y2) = 0

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

Ignore the factor 2.
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 '(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 = {-0.6666666667, 1}