y(2-8)(2y+6)=0

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Solution for y(2-8)(2y+6)=0 equation:


Simplifying
y(2 + -8)(2y + 6) = 0

Combine like terms: 2 + -8 = -6
y(-6)(2y + 6) = 0

Reorder the terms:
y * -6(6 + 2y) = 0

Reorder the terms for easier multiplication:
-6y(6 + 2y) = 0
(6 * -6y + 2y * -6y) = 0
(-36y + -12y2) = 0

Solving
-36y + -12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-12y'.
-12y(3 + y) = 0

Ignore the factor -12.

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 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 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 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3

Solution

y = {0, -3}

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