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Simplifying -1X(X + 3) + 2X + -1 = 6 Reorder the terms: -1X(3 + X) + 2X + -1 = 6 (3 * -1X + X * -1X) + 2X + -1 = 6 (-3X + -1X2) + 2X + -1 = 6 Reorder the terms: -1 + -3X + 2X + -1X2 = 6 Combine like terms: -3X + 2X = -1X -1 + -1X + -1X2 = 6 Solving -1 + -1X + -1X2 = 6 Solving for variable 'X'. Reorder the terms: -1 + -6 + -1X + -1X2 = 6 + -6 Combine like terms: -1 + -6 = -7 -7 + -1X + -1X2 = 6 + -6 Combine like terms: 6 + -6 = 0 -7 + -1X + -1X2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + X + X2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + X + X2)' equal to zero and attempt to solve: Simplifying 7 + X + X2 = 0 Solving 7 + X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + X + -7 + X2 = 0 + -7 Reorder the terms: 7 + -7 + X + X2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + X + X2 = 0 + -7 X + X2 = 0 + -7 Combine like terms: 0 + -7 = -7 X + X2 = -7 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 = -7 + 0.25 Reorder the terms: 0.25 + X + X2 = -7 + 0.25 Combine like terms: -7 + 0.25 = -6.75 0.25 + X + X2 = -6.75 Factor a perfect square on the left side: (X + 0.5)(X + 0.5) = -6.75 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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