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Simplifying 2m2 + 4m = -6 Reorder the terms: 4m + 2m2 = -6 Solving 4m + 2m2 = -6 Solving for variable 'm'. Reorder the terms: 6 + 4m + 2m2 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + 4m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 2m + m2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 2m + m2)' equal to zero and attempt to solve: Simplifying 3 + 2m + m2 = 0 Solving 3 + 2m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + 2m + -3 + m2 = 0 + -3 Reorder the terms: 3 + -3 + 2m + m2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2m + m2 = 0 + -3 2m + m2 = 0 + -3 Combine like terms: 0 + -3 = -3 2m + m2 = -3 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 = -3 + 1 Reorder the terms: 1 + 2m + m2 = -3 + 1 Combine like terms: -3 + 1 = -2 1 + 2m + m2 = -2 Factor a perfect square on the left side: (m + 1)(m + 1) = -2 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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