42y^2-6y=

Solution for 42y^2-6y= equation:

Simplifying
42y2 + -6y = 0

Reorder the terms:
-6y + 42y2 = 0

Solving
-6y + 42y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6y'.
6y(-1 + 7y) = 0

Ignore the factor 6.
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 '(-1 + 7y)' equal to zero and attempt to solve:

Simplifying
-1 + 7y = 0

Solving
-1 + 7y = 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 + 7y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7y = 0 + 1
7y = 0 + 1

Combine like terms: 0 + 1 = 1
7y = 1

Divide each side by '7'.
y = 0.1428571429

Simplifying
y = 0.1428571429
Solution
y = {0, 0.1428571429}