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Simplifying 4y2 + 24y + 44 = 0 Reorder the terms: 44 + 24y + 4y2 = 0 Solving 44 + 24y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(11 + 6y + y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(11 + 6y + y2)' equal to zero and attempt to solve: Simplifying 11 + 6y + y2 = 0 Solving 11 + 6y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + 6y + -11 + y2 = 0 + -11 Reorder the terms: 11 + -11 + 6y + y2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6y + y2 = 0 + -11 6y + y2 = 0 + -11 Combine like terms: 0 + -11 = -11 6y + y2 = -11 The y term is 6y. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6y + 9 + y2 = -11 + 9 Reorder the terms: 9 + 6y + y2 = -11 + 9 Combine like terms: -11 + 9 = -2 9 + 6y + y2 = -2 Factor a perfect square on the left side: (y + 3)(y + 3) = -2 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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