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Simplifying 2(X2 + -1X + 1) = 0 Reorder the terms: 2(1 + -1X + X2) = 0 (1 * 2 + -1X * 2 + X2 * 2) = 0 (2 + -2X + 2X2) = 0 Solving 2 + -2X + 2X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -1X + X2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1X + X2)' equal to zero and attempt to solve: Simplifying 1 + -1X + X2 = 0 Solving 1 + -1X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1X + -1 + X2 = 0 + -1 Reorder the terms: 1 + -1 + -1X + X2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X + X2 = 0 + -1 -1X + X2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1X + X2 = -1 The X term is -1X. 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. -1X + 0.25 + X2 = -1 + 0.25 Reorder the terms: 0.25 + -1X + X2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + -1X + X2 = -0.75 Factor a perfect square on the left side: (X + -0.5)(X + -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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