2y(3y+4z)=

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Solution for 2y(3y+4z)= equation: 


Simplifying
2y(3y + 4z) = 0
(3y * 2y + 4z * 2y) = 0

Reorder the terms:
(8yz + 6y2) = 0
(8yz + 6y2) = 0

Solving
8yz + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(4z + 3y) = 0

Ignore the factor 2.

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 '(4z + 3y)' equal to zero and attempt to solve:

Simplifying
4z + 3y = 0

Reorder the terms:
3y + 4z = 0

Solving
3y + 4z = 0

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

Add '-4z' to each side of the equation.
3y + 4z + -4z = 0 + -4z

Combine like terms: 4z + -4z = 0
3y + 0 = 0 + -4z
3y = 0 + -4z
Remove the zero:
3y = -4z

Divide each side by '3'.
y = -1.333333333z

Simplifying
y = -1.333333333z
Solution
y = {0, -1.333333333z}

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