-75y^2-25y+2=0

Solution for -75y^2-25y+2=0 equation:

Simplifying
-75y2 + -25y + 2 = 0

Reorder the terms:
2 + -25y + -75y2 = 0

Solving
2 + -25y + -75y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -15y)(2 + 5y) = 0

Subproblem 1
Set the factor '(1 + -15y)' equal to zero and attempt to solve:

Simplifying
1 + -15y = 0

Solving
1 + -15y = 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 + -15y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -15y = 0 + -1
-15y = 0 + -1

Combine like terms: 0 + -1 = -1
-15y = -1

Divide each side by '-15'.
y = 0.06666666667

Simplifying
y = 0.06666666667
Subproblem 2
Set the factor '(2 + 5y)' equal to zero and attempt to solve:

Simplifying
2 + 5y = 0

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

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

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

Divide each side by '5'.
y = -0.4

Simplifying
y = -0.4
Solution
y = {0.06666666667, -0.4}