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Simplifying 4y4 + -2y2 + 2 = 0 Reorder the terms: 2 + -2y2 + 4y4 = 0 Solving 2 + -2y2 + 4y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -1y2 + 2y4) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1y2 + 2y4)' equal to zero and attempt to solve: Simplifying 1 + -1y2 + 2y4 = 0 Solving 1 + -1y2 + 2y4 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.5 + -0.5y2 + y4 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.5y2 + -0.5 + y4 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.5y2 + y4 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.5y2 + y4 = 0 + -0.5 -0.5y2 + y4 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.5y2 + y4 = -0.5 The y term is -0.5y2. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5y2 + 0.0625 + y4 = -0.5 + 0.0625 Reorder the terms: 0.0625 + -0.5y2 + y4 = -0.5 + 0.0625 Combine like terms: -0.5 + 0.0625 = -0.4375 0.0625 + -0.5y2 + y4 = -0.4375 Factor a perfect square on the left side: (y2 + -0.25)(y2 + -0.25) = -0.4375 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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