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Simplifying 2m2 + -20m + 58 = 0 Reorder the terms: 58 + -20m + 2m2 = 0 Solving 58 + -20m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(29 + -10m + m2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(29 + -10m + m2)' equal to zero and attempt to solve: Simplifying 29 + -10m + m2 = 0 Solving 29 + -10m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + -10m + -29 + m2 = 0 + -29 Reorder the terms: 29 + -29 + -10m + m2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -10m + m2 = 0 + -29 -10m + m2 = 0 + -29 Combine like terms: 0 + -29 = -29 -10m + m2 = -29 The m term is -10m. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10m + 25 + m2 = -29 + 25 Reorder the terms: 25 + -10m + m2 = -29 + 25 Combine like terms: -29 + 25 = -4 25 + -10m + m2 = -4 Factor a perfect square on the left side: (m + -5)(m + -5) = -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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