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Simplifying 2m2 + -16m + 34 = 0 Reorder the terms: 34 + -16m + 2m2 = 0 Solving 34 + -16m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(17 + -8m + m2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(17 + -8m + m2)' equal to zero and attempt to solve: Simplifying 17 + -8m + m2 = 0 Solving 17 + -8m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + -8m + -17 + m2 = 0 + -17 Reorder the terms: 17 + -17 + -8m + m2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -8m + m2 = 0 + -17 -8m + m2 = 0 + -17 Combine like terms: 0 + -17 = -17 -8m + m2 = -17 The m term is -8m. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8m + 16 + m2 = -17 + 16 Reorder the terms: 16 + -8m + m2 = -17 + 16 Combine like terms: -17 + 16 = -1 16 + -8m + m2 = -1 Factor a perfect square on the left side: (m + -4)(m + -4) = -1 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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