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Simplifying 2m2 + 2m + 6 = 0 Reorder the terms: 6 + 2m + 2m2 = 0 Solving 6 + 2m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(3 + m + m2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + m + m2)' equal to zero and attempt to solve: Simplifying 3 + m + m2 = 0 Solving 3 + m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + m + -3 + m2 = 0 + -3 Reorder the terms: 3 + -3 + m + m2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m + m2 = 0 + -3 m + m2 = 0 + -3 Combine like terms: 0 + -3 = -3 m + m2 = -3 The m term is m. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. m + 0.25 + m2 = -3 + 0.25 Reorder the terms: 0.25 + m + m2 = -3 + 0.25 Combine like terms: -3 + 0.25 = -2.75 0.25 + m + m2 = -2.75 Factor a perfect square on the left side: (m + 0.5)(m + 0.5) = -2.75 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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