-6y(7y+3)=

Solution for -6y(7y+3)= equation:

Simplifying
-6y(7y + 3) = 0

Reorder the terms:
-6y(3 + 7y) = 0
(3 * -6y + 7y * -6y) = 0
(-18y + -42y2) = 0

Solving
-18y + -42y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-6y'.
-6y(3 + 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 '(3 + 7y)' equal to zero and attempt to solve:

Simplifying
3 + 7y = 0

Solving
3 + 7y = 0

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

Add '-3' to each side of the equation.
3 + -3 + 7y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7y = 0 + -3
7y = 0 + -3

Combine like terms: 0 + -3 = -3
7y = -3

Divide each side by '7'.
y = -0.4285714286

Simplifying
y = -0.4285714286
Solution
y = {0, -0.4285714286}