7y^2=-34y

Solution for 7y^2=-34y equation:

Simplifying
7y2 = -34y

Solving
7y2 = -34y

Solving for variable 'y'.

Reorder the terms:
34y + 7y2 = -34y + 34y

Combine like terms: -34y + 34y = 0
34y + 7y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(34 + 7y) = 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 '(34 + 7y)' equal to zero and attempt to solve:

Simplifying
34 + 7y = 0

Solving
34 + 7y = 0

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

Add '-34' to each side of the equation.
34 + -34 + 7y = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 7y = 0 + -34
7y = 0 + -34

Combine like terms: 0 + -34 = -34
7y = -34

Divide each side by '7'.
y = -4.857142857

Simplifying
y = -4.857142857
Solution
y = {0, -4.857142857}