9y^2=-65y

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Solution for 9y^2=-65y equation:


Simplifying
9y2 = -65y

Solving
9y2 = -65y

Solving for variable 'y'.

Reorder the terms:
65y + 9y2 = -65y + 65y

Combine like terms: -65y + 65y = 0
65y + 9y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(65 + 9y) = 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 '(65 + 9y)' equal to zero and attempt to solve: Simplifying 65 + 9y = 0 Solving 65 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + 9y = 0 + -65 Combine like terms: 65 + -65 = 0 0 + 9y = 0 + -65 9y = 0 + -65 Combine like terms: 0 + -65 = -65 9y = -65 Divide each side by '9'. y = -7.222222222 Simplifying y = -7.222222222

Solution

y = {0, -7.222222222}

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