10y^2-40y-50=0

Solution for 10y^2-40y-50=0 equation:

Simplifying
10y2 + -40y + -50 = 0

Reorder the terms:
-50 + -40y + 10y2 = 0

Solving
-50 + -40y + 10y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-5 + -4y + y2) = 0

Factor a trinomial.
10((-1 + -1y)(5 + -1y)) = 0

Ignore the factor 10.
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 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 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 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-1, 5}