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Simplifying 2y2 + -2y + 32 = 0 Reorder the terms: 32 + -2y + 2y2 = 0 Solving 32 + -2y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(16 + -1y + y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(16 + -1y + y2)' equal to zero and attempt to solve: Simplifying 16 + -1y + y2 = 0 Solving 16 + -1y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + -1y + -16 + y2 = 0 + -16 Reorder the terms: 16 + -16 + -1y + y2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1y + y2 = 0 + -16 -1y + y2 = 0 + -16 Combine like terms: 0 + -16 = -16 -1y + y2 = -16 The y term is -1y. 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 = -16 + 0.25 Reorder the terms: 0.25 + -1y + y2 = -16 + 0.25 Combine like terms: -16 + 0.25 = -15.75 0.25 + -1y + y2 = -15.75 Factor a perfect square on the left side: (y + -0.5)(y + -0.5) = -15.75 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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