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Simplifying 12X2 + -72X + 1296 = 0 Reorder the terms: 1296 + -72X + 12X2 = 0 Solving 1296 + -72X + 12X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '12'. 12(108 + -6X + X2) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(108 + -6X + X2)' equal to zero and attempt to solve: Simplifying 108 + -6X + X2 = 0 Solving 108 + -6X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-108' to each side of the equation. 108 + -6X + -108 + X2 = 0 + -108 Reorder the terms: 108 + -108 + -6X + X2 = 0 + -108 Combine like terms: 108 + -108 = 0 0 + -6X + X2 = 0 + -108 -6X + X2 = 0 + -108 Combine like terms: 0 + -108 = -108 -6X + X2 = -108 The X term is -6X. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6X + 9 + X2 = -108 + 9 Reorder the terms: 9 + -6X + X2 = -108 + 9 Combine like terms: -108 + 9 = -99 9 + -6X + X2 = -99 Factor a perfect square on the left side: (X + -3)(X + -3) = -99 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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