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Simplifying 2y = 2y2 + 4 Reorder the terms: 2y = 4 + 2y2 Solving 2y = 4 + 2y2 Solving for variable 'y'. Reorder the terms: -4 + 2y + -2y2 = 4 + 2y2 + -4 + -2y2 Reorder the terms: -4 + 2y + -2y2 = 4 + -4 + 2y2 + -2y2 Combine like terms: 4 + -4 = 0 -4 + 2y + -2y2 = 0 + 2y2 + -2y2 -4 + 2y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -4 + 2y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + y + -1y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + y + -1y2)' equal to zero and attempt to solve: Simplifying -2 + y + -1y2 = 0 Solving -2 + y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 2 + -1y + y2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1y + -2 + y2 = 0 + -2 Reorder the terms: 2 + -2 + -1y + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y + y2 = 0 + -2 -1y + y2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1y + y2 = -2 The y term is y. 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 = -2 + 0.25 Reorder the terms: 0.25 + -1y + y2 = -2 + 0.25 Combine like terms: -2 + 0.25 = -1.75 0.25 + -1y + y2 = -1.75 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -1.75 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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