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Simplifying 4y2 + -44y + 144 = 0 Reorder the terms: 144 + -44y + 4y2 = 0 Solving 144 + -44y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(36 + -11y + y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(36 + -11y + y2)' equal to zero and attempt to solve: Simplifying 36 + -11y + y2 = 0 Solving 36 + -11y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + -11y + -36 + y2 = 0 + -36 Reorder the terms: 36 + -36 + -11y + y2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -11y + y2 = 0 + -36 -11y + y2 = 0 + -36 Combine like terms: 0 + -36 = -36 -11y + y2 = -36 The y term is -11y. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11y + 30.25 + y2 = -36 + 30.25 Reorder the terms: 30.25 + -11y + y2 = -36 + 30.25 Combine like terms: -36 + 30.25 = -5.75 30.25 + -11y + y2 = -5.75 Factor a perfect square on the left side: (y + -5.5)(y + -5.5) = -5.75 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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