3y-y(4+2y)=0

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Solution for 3y-y(4+2y)=0 equation: 


Simplifying
3y + -1y(4 + 2y) = 0
3y + (4 * -1y + 2y * -1y) = 0
3y + (-4y + -2y2) = 0

Combine like terms: 3y + -4y = -1y
-1y + -2y2 = 0

Solving
-1y + -2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-1y'.
-1y(1 + 2y) = 0

Ignore the factor -1.

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 + 2y)' equal to zero and attempt to solve:

Simplifying
1 + 2y = 0

Solving
1 + 2y = 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 + 2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2y = 0 + -1
2y = 0 + -1

Combine like terms: 0 + -1 = -1
2y = -1

Divide each side by '2'.
y = -0.5

Simplifying
y = -0.5
Solution
y = {0, -0.5}

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