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Simplifying 32x7y + -2x5y + 6x3y = 0 Reorder the terms: 6x3y + -2x5y + 32x7y = 0 Solving 6x3y + -2x5y + 32x7y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x3y'. 2x3y(3 + -1x2 + 16x4) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x3y' equal to zero and attempt to solve: Simplifying x3y = 0 Solving x3y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y = 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 '(3 + -1x2 + 16x4)' equal to zero and attempt to solve: Simplifying 3 + -1x2 + 16x4 = 0 Solving 3 + -1x2 + 16x4 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.1875 + -0.0625x2 + x4 = 0 Move the constant term to the right: Add '-0.1875' to each side of the equation. 0.1875 + -0.0625x2 + -0.1875 + x4 = 0 + -0.1875 Reorder the terms: 0.1875 + -0.1875 + -0.0625x2 + x4 = 0 + -0.1875 Combine like terms: 0.1875 + -0.1875 = 0.0000 0.0000 + -0.0625x2 + x4 = 0 + -0.1875 -0.0625x2 + x4 = 0 + -0.1875 Combine like terms: 0 + -0.1875 = -0.1875 -0.0625x2 + x4 = -0.1875 The x term is -0.0625x2. Take half its coefficient (-0.03125). Square it (0.0009765625) and add it to both sides. Add '0.0009765625' to each side of the equation. -0.0625x2 + 0.0009765625 + x4 = -0.1875 + 0.0009765625 Reorder the terms: 0.0009765625 + -0.0625x2 + x4 = -0.1875 + 0.0009765625 Combine like terms: -0.1875 + 0.0009765625 = -0.1865234375 0.0009765625 + -0.0625x2 + x4 = -0.1865234375 Factor a perfect square on the left side: (x2 + -0.03125)(x2 + -0.03125) = -0.1865234375 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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