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Simplifying 4y6 + 8y5 + 44y4 = 0 Reorder the terms: 44y4 + 8y5 + 4y6 = 0 Solving 44y4 + 8y5 + 4y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y4'. 4y4(11 + 2y + y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y4 = 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 + 2y + y2)' equal to zero and attempt to solve: Simplifying 11 + 2y + y2 = 0 Solving 11 + 2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + 2y + -11 + y2 = 0 + -11 Reorder the terms: 11 + -11 + 2y + y2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2y + y2 = 0 + -11 2y + y2 = 0 + -11 Combine like terms: 0 + -11 = -11 2y + y2 = -11 The y term is 2y. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2y + 1 + y2 = -11 + 1 Reorder the terms: 1 + 2y + y2 = -11 + 1 Combine like terms: -11 + 1 = -10 1 + 2y + y2 = -10 Factor a perfect square on the left side: (y + 1)(y + 1) = -10 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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