y^2+49y=0

Solution for y^2+49y=0 equation:

Simplifying
y2 + 49y = 0

Reorder the terms:
49y + y2 = 0

Solving
49y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(49 + y) = 0

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0
Subproblem 2
Set the factor '(49 + y)' equal to zero and attempt to solve:

Simplifying
49 + y = 0

Solving
49 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-49' to each side of the equation.
49 + -49 + y = 0 + -49

Combine like terms: 49 + -49 = 0
0 + y = 0 + -49
y = 0 + -49

Combine like terms: 0 + -49 = -49
y = -49

Simplifying
y = -49
Solution
y = {0, -49}