6y^2+43y=0

Solution for 6y^2+43y=0 equation:

Simplifying
6y2 + 43y = 0

Reorder the terms:
43y + 6y2 = 0

Solving
43y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(43 + 6y) = 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 '(43 + 6y)' equal to zero and attempt to solve:

Simplifying
43 + 6y = 0

Solving
43 + 6y = 0

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

Add '-43' to each side of the equation.
43 + -43 + 6y = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 6y = 0 + -43
6y = 0 + -43

Combine like terms: 0 + -43 = -43
6y = -43

Divide each side by '6'.
y = -7.166666667

Simplifying
y = -7.166666667
Solution
y = {0, -7.166666667}