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Simplifying 3y3 + -3y2 + 6y = 0 Reorder the terms: 6y + -3y2 + 3y3 = 0 Solving 6y + -3y2 + 3y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(2 + -1y + y2) = 0 Ignore the factor 3.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 = 0Subproblem 2
Set the factor '(2 + -1y + y2)' equal to zero and attempt to solve: Simplifying 2 + -1y + y2 = 0 Solving 2 + -1y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1y + -2 + y2 = 0 + -2 Reorder the terms: 2 + -2 + -1y + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y + y2 = 0 + -2 -1y + y2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1y + y2 = -2 The y term is -1y. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1y + 0.25 + y2 = -2 + 0.25 Reorder the terms: 0.25 + -1y + y2 = -2 + 0.25 Combine like terms: -2 + 0.25 = -1.75 0.25 + -1y + y2 = -1.75 Factor a perfect square on the left side: (y + -0.5)(y + -0.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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