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Simplifying y2 + 0.5y = 0 Reorder the terms: 0.5y + y2 = 0 Solving 0.5y + y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(0.5 + 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 '(0.5 + y)' equal to zero and attempt to solve: Simplifying 0.5 + y = 0 Solving 0.5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + y = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + y = 0 + -0.5 y = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 y = -0.5 Simplifying y = -0.5Solution
y = {0, -0.5}
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