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Simplifying 3m2 + -18m + 51 = 0 Reorder the terms: 51 + -18m + 3m2 = 0 Solving 51 + -18m + 3m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(17 + -6m + m2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(17 + -6m + m2)' equal to zero and attempt to solve: Simplifying 17 + -6m + m2 = 0 Solving 17 + -6m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + -6m + -17 + m2 = 0 + -17 Reorder the terms: 17 + -17 + -6m + m2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6m + m2 = 0 + -17 -6m + m2 = 0 + -17 Combine like terms: 0 + -17 = -17 -6m + m2 = -17 The m term is -6m. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6m + 9 + m2 = -17 + 9 Reorder the terms: 9 + -6m + m2 = -17 + 9 Combine like terms: -17 + 9 = -8 9 + -6m + m2 = -8 Factor a perfect square on the left side: (m + -3)(m + -3) = -8 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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