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Simplifying 4y5 + -24y4 + 44y3 = 0 Reorder the terms: 44y3 + -24y4 + 4y5 = 0 Solving 44y3 + -24y4 + 4y5 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y3'. 4y3(11 + -6y + y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve: Simplifying y3 = 0 Solving y3 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
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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