16y^2+6y-10=0

Solution for 16y^2+6y-10=0 equation:

Simplifying
16y2 + 6y + -10 = 0

Reorder the terms:
-10 + 6y + 16y2 = 0

Solving
-10 + 6y + 16y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 3y + 8y2) = 0

Factor a trinomial.
2((-1 + -1y)(5 + -8y)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(5 + -8y)' equal to zero and attempt to solve:

Simplifying
5 + -8y = 0

Solving
5 + -8y = 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 + -8y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8y = 0 + -5
-8y = 0 + -5

Combine like terms: 0 + -5 = -5
-8y = -5

Divide each side by '-8'.
y = 0.625

Simplifying
y = 0.625
Solution
y = {-1, 0.625}