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Simplifying 3y4 + -15y2 + 108 = 0 Reorder the terms: 108 + -15y2 + 3y4 = 0 Solving 108 + -15y2 + 3y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(36 + -5y2 + y4) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(36 + -5y2 + y4)' equal to zero and attempt to solve: Simplifying 36 + -5y2 + y4 = 0 Solving 36 + -5y2 + y4 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + -5y2 + -36 + y4 = 0 + -36 Reorder the terms: 36 + -36 + -5y2 + y4 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -5y2 + y4 = 0 + -36 -5y2 + y4 = 0 + -36 Combine like terms: 0 + -36 = -36 -5y2 + y4 = -36 The y term is -5y2. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5y2 + 6.25 + y4 = -36 + 6.25 Reorder the terms: 6.25 + -5y2 + y4 = -36 + 6.25 Combine like terms: -36 + 6.25 = -29.75 6.25 + -5y2 + y4 = -29.75 Factor a perfect square on the left side: (y2 + -2.5)(y2 + -2.5) = -29.75 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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