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Simplifying 0 = y2 + 11y + 121 Reorder the terms: 0 = 121 + 11y + y2 Solving 0 = 121 + 11y + y2 Solving for variable 'y'. Combine like terms: 0 + -121 = -121 -121 + -11y + -1y2 = 121 + 11y + y2 + -121 + -11y + -1y2 Reorder the terms: -121 + -11y + -1y2 = 121 + -121 + 11y + -11y + y2 + -1y2 Combine like terms: 121 + -121 = 0 -121 + -11y + -1y2 = 0 + 11y + -11y + y2 + -1y2 -121 + -11y + -1y2 = 11y + -11y + y2 + -1y2 Combine like terms: 11y + -11y = 0 -121 + -11y + -1y2 = 0 + y2 + -1y2 -121 + -11y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -121 + -11y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(121 + 11y + y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(121 + 11y + y2)' equal to zero and attempt to solve: Simplifying 121 + 11y + y2 = 0 Solving 121 + 11y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-121' to each side of the equation. 121 + 11y + -121 + y2 = 0 + -121 Reorder the terms: 121 + -121 + 11y + y2 = 0 + -121 Combine like terms: 121 + -121 = 0 0 + 11y + y2 = 0 + -121 11y + y2 = 0 + -121 Combine like terms: 0 + -121 = -121 11y + y2 = -121 The y term is 11y. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11y + 30.25 + y2 = -121 + 30.25 Reorder the terms: 30.25 + 11y + y2 = -121 + 30.25 Combine like terms: -121 + 30.25 = -90.75 30.25 + 11y + y2 = -90.75 Factor a perfect square on the left side: (y + 5.5)(y + 5.5) = -90.75 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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