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Simplifying -1X2 + -1X = 6 Reorder the terms: -1X + -1X2 = 6 Solving -1X + -1X2 = 6 Solving for variable 'X'. Reorder the terms: -6 + -1X + -1X2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -1X + -1X2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(6 + X + X2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + X + X2)' equal to zero and attempt to solve: Simplifying 6 + X + X2 = 0 Solving 6 + X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + X + -6 + X2 = 0 + -6 Reorder the terms: 6 + -6 + X + X2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + X + X2 = 0 + -6 X + X2 = 0 + -6 Combine like terms: 0 + -6 = -6 X + X2 = -6 The X term is X. 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. X + 0.25 + X2 = -6 + 0.25 Reorder the terms: 0.25 + X + X2 = -6 + 0.25 Combine like terms: -6 + 0.25 = -5.75 0.25 + X + X2 = -5.75 Factor a perfect square on the left side: (X + 0.5)(X + 0.5) = -5.75 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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