3y^2=-15y

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Solution for 3y^2=-15y equation:


Simplifying
3y2 = -15y

Solving
3y2 = -15y

Solving for variable 'y'.

Reorder the terms:
15y + 3y2 = -15y + 15y

Combine like terms: -15y + 15y = 0
15y + 3y2 = 0

Factor out the Greatest Common Factor (GCF), '3y'.
3y(5 + y) = 0

Ignore the factor 3.

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 '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5

Solution

y = {0, -5}

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