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Simplifying 3x4 + -3x2 + 27 = 0 Reorder the terms: 27 + -3x2 + 3x4 = 0 Solving 27 + -3x2 + 3x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(9 + -1x2 + x4) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(9 + -1x2 + x4)' equal to zero and attempt to solve: Simplifying 9 + -1x2 + x4 = 0 Solving 9 + -1x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -1x2 + -9 + x4 = 0 + -9 Reorder the terms: 9 + -9 + -1x2 + x4 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x2 + x4 = 0 + -9 -1x2 + x4 = 0 + -9 Combine like terms: 0 + -9 = -9 -1x2 + x4 = -9 The x term is -1x2. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x2 + 0.25 + x4 = -9 + 0.25 Reorder the terms: 0.25 + -1x2 + x4 = -9 + 0.25 Combine like terms: -9 + 0.25 = -8.75 0.25 + -1x2 + x4 = -8.75 Factor a perfect square on the left side: (x2 + -0.5)(x2 + -0.5) = -8.75 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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