5y^2=-9y

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Solution for 5y^2=-9y equation:


Simplifying
5y2 = -9y

Solving
5y2 = -9y

Solving for variable 'y'.

Reorder the terms:
9y + 5y2 = -9y + 9y

Combine like terms: -9y + 9y = 0
9y + 5y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(9 + 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 '(9 + 5y)' equal to zero and attempt to solve: Simplifying 9 + 5y = 0 Solving 9 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5y = 0 + -9 5y = 0 + -9 Combine like terms: 0 + -9 = -9 5y = -9 Divide each side by '5'. y = -1.8 Simplifying y = -1.8

Solution

y = {0, -1.8}

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