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Simplifying -6X2 + 6X + -18 = 0 Reorder the terms: -18 + 6X + -6X2 = 0 Solving -18 + 6X + -6X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '6'. 6(-3 + X + -1X2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-3 + X + -1X2)' equal to zero and attempt to solve: Simplifying -3 + X + -1X2 = 0 Solving -3 + X + -1X2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 3 + -1X + X2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1X + -3 + X2 = 0 + -3 Reorder the terms: 3 + -3 + -1X + X2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X + X2 = 0 + -3 -1X + X2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1X + X2 = -3 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. -1X + 0.25 + X2 = -3 + 0.25 Reorder the terms: 0.25 + -1X + X2 = -3 + 0.25 Combine like terms: -3 + 0.25 = -2.75 0.25 + -1X + X2 = -2.75 Factor a perfect square on the left side: (X + 0.5)(X + 0.5) = -2.75 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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