6y=2y(y+2)

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Solution for 6y=2y(y+2) equation:


Simplifying
6y = 2y(y + 2)

Reorder the terms:
6y = 2y(2 + y)
6y = (2 * 2y + y * 2y)
6y = (4y + 2y2)

Solving
6y = 4y + 2y2

Solving for variable 'y'.

Combine like terms: 6y + -4y = 2y
2y + -2y2 = 4y + 2y2 + -4y + -2y2

Reorder the terms:
2y + -2y2 = 4y + -4y + 2y2 + -2y2

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

Combine like terms: 2y2 + -2y2 = 0
2y + -2y2 = 0

Factor out the Greatest Common Factor (GCF), '2y'.
2y(1 + -1y) = 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 '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1

Solution

y = {0, 1}

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