y=-0.5y^2

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Solution for y=-0.5y^2 equation:


Simplifying
y = -0.5y2

Solving
y = -0.5y2

Solving for variable 'y'.

Combine like terms: -0.5y2 + 0.5y2 = 0.0
y + 0.5y2 = 0.0

Factor out the Greatest Common Factor (GCF), 'y'.
y(1 + 0.5y) = 0.0

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 '(1 + 0.5y)' equal to zero and attempt to solve: Simplifying 1 + 0.5y = 0 Solving 1 + 0.5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5y = 0 + -1 0.5y = 0 + -1 Combine like terms: 0 + -1 = -1 0.5y = -1 Divide each side by '0.5'. y = -2 Simplifying y = -2

Solution

y = {0, -2}

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