2y(3y-z)=

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Solution for 2y(3y-z)= equation:


Simplifying
2y(3y + -1z) = 0
(3y * 2y + -1z * 2y) = 0

Reorder the terms:
(-2yz + 6y2) = 0
(-2yz + 6y2) = 0

Solving
-2yz + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-1z + 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 '(-1z + 3y)' equal to zero and attempt to solve: Simplifying -1z + 3y = 0 Reorder the terms: 3y + -1z = 0 Solving 3y + -1z = 0 Move all terms containing y to the left, all other terms to the right. Add 'z' to each side of the equation. 3y + -1z + z = 0 + z Combine like terms: -1z + z = 0 3y + 0 = 0 + z 3y = 0 + z Remove the zero: 3y = z Divide each side by '3'. y = 0.3333333333z Simplifying y = 0.3333333333z

Solution

y = {0, 0.3333333333z}

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