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Simplifying 3X2 + -33X + 168 = 0 Reorder the terms: 168 + -33X + 3X2 = 0 Solving 168 + -33X + 3X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '3'. 3(56 + -11X + X2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(56 + -11X + X2)' equal to zero and attempt to solve: Simplifying 56 + -11X + X2 = 0 Solving 56 + -11X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-56' to each side of the equation. 56 + -11X + -56 + X2 = 0 + -56 Reorder the terms: 56 + -56 + -11X + X2 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -11X + X2 = 0 + -56 -11X + X2 = 0 + -56 Combine like terms: 0 + -56 = -56 -11X + X2 = -56 The X term is -11X. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11X + 30.25 + X2 = -56 + 30.25 Reorder the terms: 30.25 + -11X + X2 = -56 + 30.25 Combine like terms: -56 + 30.25 = -25.75 30.25 + -11X + X2 = -25.75 Factor a perfect square on the left side: (X + -5.5)(X + -5.5) = -25.75 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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