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Simplifying 4062 + -128y + 2y2 = 0 Solving 4062 + -128y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(2031 + -64y + y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2031 + -64y + y2)' equal to zero and attempt to solve: Simplifying 2031 + -64y + y2 = 0 Solving 2031 + -64y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-2031' to each side of the equation. 2031 + -64y + -2031 + y2 = 0 + -2031 Reorder the terms: 2031 + -2031 + -64y + y2 = 0 + -2031 Combine like terms: 2031 + -2031 = 0 0 + -64y + y2 = 0 + -2031 -64y + y2 = 0 + -2031 Combine like terms: 0 + -2031 = -2031 -64y + y2 = -2031 The y term is -64y. Take half its coefficient (-32). Square it (1024) and add it to both sides. Add '1024' to each side of the equation. -64y + 1024 + y2 = -2031 + 1024 Reorder the terms: 1024 + -64y + y2 = -2031 + 1024 Combine like terms: -2031 + 1024 = -1007 1024 + -64y + y2 = -1007 Factor a perfect square on the left side: (y + -32)(y + -32) = -1007 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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