5y^2+38y=0

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Solution for 5y^2+38y=0 equation:


Simplifying
5y2 + 38y = 0

Reorder the terms:
38y + 5y2 = 0

Solving
38y + 5y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(38 + 5y) = 0

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 '(38 + 5y)' equal to zero and attempt to solve: Simplifying 38 + 5y = 0 Solving 38 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 5y = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 5y = 0 + -38 5y = 0 + -38 Combine like terms: 0 + -38 = -38 5y = -38 Divide each side by '5'. y = -7.6 Simplifying y = -7.6

Solution

y = {0, -7.6}

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