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Simplifying y6 + -13y5 + 45y4 = 0 Reorder the terms: 45y4 + -13y5 + y6 = 0 Solving 45y4 + -13y5 + y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y4'. y4(45 + -13y + y2) = 0Subproblem 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 '(45 + -13y + y2)' equal to zero and attempt to solve: Simplifying 45 + -13y + y2 = 0 Solving 45 + -13y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-45' to each side of the equation. 45 + -13y + -45 + y2 = 0 + -45 Reorder the terms: 45 + -45 + -13y + y2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -13y + y2 = 0 + -45 -13y + y2 = 0 + -45 Combine like terms: 0 + -45 = -45 -13y + y2 = -45 The y term is -13y. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13y + 42.25 + y2 = -45 + 42.25 Reorder the terms: 42.25 + -13y + y2 = -45 + 42.25 Combine like terms: -45 + 42.25 = -2.75 42.25 + -13y + y2 = -2.75 Factor a perfect square on the left side: (y + -6.5)(y + -6.5) = -2.75 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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