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Simplifying 16x4 + 6x2 + 4 = 0 Reorder the terms: 4 + 6x2 + 16x4 = 0 Solving 4 + 6x2 + 16x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 3x2 + 8x4) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + 3x2 + 8x4)' equal to zero and attempt to solve: Simplifying 2 + 3x2 + 8x4 = 0 Solving 2 + 3x2 + 8x4 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.25 + 0.375x2 + x4 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 0.375x2 + -0.25 + x4 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 0.375x2 + x4 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.375x2 + x4 = 0 + -0.25 0.375x2 + x4 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.375x2 + x4 = -0.25 The x term is 0.375x2. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375x2 + 0.03515625 + x4 = -0.25 + 0.03515625 Reorder the terms: 0.03515625 + 0.375x2 + x4 = -0.25 + 0.03515625 Combine like terms: -0.25 + 0.03515625 = -0.21484375 0.03515625 + 0.375x2 + x4 = -0.21484375 Factor a perfect square on the left side: (x2 + 0.1875)(x2 + 0.1875) = -0.21484375 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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