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Simplifying 2m2 + -4m + 10 = 0 Reorder the terms: 10 + -4m + 2m2 = 0 Solving 10 + -4m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -2m + m2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -2m + m2)' equal to zero and attempt to solve: Simplifying 5 + -2m + m2 = 0 Solving 5 + -2m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -2m + -5 + m2 = 0 + -5 Reorder the terms: 5 + -5 + -2m + m2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m + m2 = 0 + -5 -2m + m2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2m + m2 = -5 The m term is -2m. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2m + 1 + m2 = -5 + 1 Reorder the terms: 1 + -2m + m2 = -5 + 1 Combine like terms: -5 + 1 = -4 1 + -2m + m2 = -4 Factor a perfect square on the left side: (m + -1)(m + -1) = -4 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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