116y^2-348y+145=0

Solution for 116y^2-348y+145=0 equation:

Simplifying
116y2 + -348y + 145 = 0

Reorder the terms:
145 + -348y + 116y2 = 0

Solving
145 + -348y + 116y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '29'.
29(5 + -12y + 4y2) = 0

Factor a trinomial.
29((1 + -2y)(5 + -2y)) = 0

Ignore the factor 29.
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 '(5 + -2y)' equal to zero and attempt to solve:

Simplifying
5 + -2y = 0

Solving
5 + -2y = 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 + -2y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2y = 0 + -5
-2y = 0 + -5

Combine like terms: 0 + -5 = -5
-2y = -5

Divide each side by '-2'.
y = 2.5

Simplifying
y = 2.5
Solution
y = {0.5, 2.5}