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Simplifying 1 + -2y + -1y2 = 81 Solving 1 + -2y + -1y2 = 81 Solving for variable 'y'. Reorder the terms: 1 + -81 + -2y + -1y2 = 81 + -81 Combine like terms: 1 + -81 = -80 -80 + -2y + -1y2 = 81 + -81 Combine like terms: 81 + -81 = 0 -80 + -2y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(80 + 2y + y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(80 + 2y + y2)' equal to zero and attempt to solve: Simplifying 80 + 2y + y2 = 0 Solving 80 + 2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-80' to each side of the equation. 80 + 2y + -80 + y2 = 0 + -80 Reorder the terms: 80 + -80 + 2y + y2 = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 2y + y2 = 0 + -80 2y + y2 = 0 + -80 Combine like terms: 0 + -80 = -80 2y + y2 = -80 The y term is 2y. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2y + 1 + y2 = -80 + 1 Reorder the terms: 1 + 2y + y2 = -80 + 1 Combine like terms: -80 + 1 = -79 1 + 2y + y2 = -79 Factor a perfect square on the left side: (y + 1)(y + 1) = -79 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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