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Simplifying (6x4 + -6x2 + 6) = 0 Reorder the terms: (6 + -6x2 + 6x4) = 0 Remove parenthesis around (6 + -6x2 + 6x4) 6 + -6x2 + 6x4 = 0 Solving 6 + -6x2 + 6x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(1 + -1x2 + x4) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(1 + -1x2 + x4)' equal to zero and attempt to solve: Simplifying 1 + -1x2 + x4 = 0 Solving 1 + -1x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1x2 + -1 + x4 = 0 + -1 Reorder the terms: 1 + -1 + -1x2 + x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x2 + x4 = 0 + -1 -1x2 + x4 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x2 + x4 = -1 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 = -1 + 0.25 Reorder the terms: 0.25 + -1x2 + x4 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + -1x2 + x4 = -0.75 Factor a perfect square on the left side: (x2 + -0.5)(x2 + -0.5) = -0.75 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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