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Simplifying 16y2 + -44y + 52 = 0 Reorder the terms: 52 + -44y + 16y2 = 0 Solving 52 + -44y + 16y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(13 + -11y + 4y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(13 + -11y + 4y2)' equal to zero and attempt to solve: Simplifying 13 + -11y + 4y2 = 0 Solving 13 + -11y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3.25 + -2.75y + y2 = 0 Move the constant term to the right: Add '-3.25' to each side of the equation. 3.25 + -2.75y + -3.25 + y2 = 0 + -3.25 Reorder the terms: 3.25 + -3.25 + -2.75y + y2 = 0 + -3.25 Combine like terms: 3.25 + -3.25 = 0.00 0.00 + -2.75y + y2 = 0 + -3.25 -2.75y + y2 = 0 + -3.25 Combine like terms: 0 + -3.25 = -3.25 -2.75y + y2 = -3.25 The y term is -2.75y. Take half its coefficient (-1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. -2.75y + 1.890625 + y2 = -3.25 + 1.890625 Reorder the terms: 1.890625 + -2.75y + y2 = -3.25 + 1.890625 Combine like terms: -3.25 + 1.890625 = -1.359375 1.890625 + -2.75y + y2 = -1.359375 Factor a perfect square on the left side: (y + -1.375)(y + -1.375) = -1.359375 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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