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Simplifying -3y(y + -1) = 9 Reorder the terms: -3y(-1 + y) = 9 (-1 * -3y + y * -3y) = 9 (3y + -3y2) = 9 Solving 3y + -3y2 = 9 Solving for variable 'y'. Reorder the terms: -9 + 3y + -3y2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 3y + -3y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + y + -1y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + y + -1y2)' equal to zero and attempt to solve: Simplifying -3 + y + -1y2 = 0 Solving -3 + y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 3 + -1y + y2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1y + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + -1y + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y + y2 = 0 + -3 -1y + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1y + y2 = -3 The y term is y. 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 = -3 + 0.25 Reorder the terms: 0.25 + -1y + y2 = -3 + 0.25 Combine like terms: -3 + 0.25 = -2.75 0.25 + -1y + y2 = -2.75 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -2.75 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. The solution to this equation could not be determined.
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