2y=-3y^2

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Solution for 2y=-3y^2 equation:


Simplifying
2y = -3y2

Solving
2y = -3y2

Solving for variable 'y'.

Combine like terms: -3y2 + 3y2 = 0
2y + 3y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(2 + 3y) = 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 '(2 + 3y)' equal to zero and attempt to solve: Simplifying 2 + 3y = 0 Solving 2 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Divide each side by '3'. y = -0.6666666667 Simplifying y = -0.6666666667

Solution

y = {0, -0.6666666667}

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