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Simplifying 9(y2 + 4y + 4) = -9 Reorder the terms: 9(4 + 4y + y2) = -9 (4 * 9 + 4y * 9 + y2 * 9) = -9 (36 + 36y + 9y2) = -9 Solving 36 + 36y + 9y2 = -9 Solving for variable 'y'. Reorder the terms: 36 + 9 + 36y + 9y2 = -9 + 9 Combine like terms: 36 + 9 = 45 45 + 36y + 9y2 = -9 + 9 Combine like terms: -9 + 9 = 0 45 + 36y + 9y2 = 0 Factor out the Greatest Common Factor (GCF), '9'. 9(5 + 4y + y2) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(5 + 4y + y2)' equal to zero and attempt to solve: Simplifying 5 + 4y + y2 = 0 Solving 5 + 4y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 4y + -5 + y2 = 0 + -5 Reorder the terms: 5 + -5 + 4y + y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4y + y2 = 0 + -5 4y + y2 = 0 + -5 Combine like terms: 0 + -5 = -5 4y + y2 = -5 The y term is 4y. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4y + 4 + y2 = -5 + 4 Reorder the terms: 4 + 4y + y2 = -5 + 4 Combine like terms: -5 + 4 = -1 4 + 4y + y2 = -1 Factor a perfect square on the left side: (y + 2)(y + 2) = -1 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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