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Simplifying y3 + -7y2 + 18y = 0 Reorder the terms: 18y + -7y2 + y3 = 0 Solving 18y + -7y2 + y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(18 + -7y + y2) = 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 '(18 + -7y + y2)' equal to zero and attempt to solve: Simplifying 18 + -7y + y2 = 0 Solving 18 + -7y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -7y + -18 + y2 = 0 + -18 Reorder the terms: 18 + -18 + -7y + y2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -7y + y2 = 0 + -18 -7y + y2 = 0 + -18 Combine like terms: 0 + -18 = -18 -7y + y2 = -18 The y term is -7y. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7y + 12.25 + y2 = -18 + 12.25 Reorder the terms: 12.25 + -7y + y2 = -18 + 12.25 Combine like terms: -18 + 12.25 = -5.75 12.25 + -7y + y2 = -5.75 Factor a perfect square on the left side: (y + -3.5)(y + -3.5) = -5.75 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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