(4y^2)+(32y)=0

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Solution for (4y^2)+(32y)=0 equation:


Simplifying
(4y2) + (32y) = 0

Reorder the terms:
(32y) + (4y2) = 0

Solving
(32y) + (4y2) = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y'.
4y(8 + y) = 0

Ignore the factor 4.

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 '(8 + y)' equal to zero and attempt to solve: Simplifying 8 + y = 0 Solving 8 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + y = 0 + -8 y = 0 + -8 Combine like terms: 0 + -8 = -8 y = -8 Simplifying y = -8

Solution

y = {0, -8}

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