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Simplifying y2 + 19y = 0 Reorder the terms: 19y + y2 = 0 Solving 19y + y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(19 + y) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(19 + y)' equal to zero and attempt to solve: Simplifying 19 + y = 0 Solving 19 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + y = 0 + -19 y = 0 + -19 Combine like terms: 0 + -19 = -19 y = -19 Simplifying y = -19Solution
y = {0, -19}
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