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Simplifying 2m + -1(m2 + 3m + 2) = 0 Reorder the terms: 2m + -1(2 + 3m + m2) = 0 2m + (2 * -1 + 3m * -1 + m2 * -1) = 0 2m + (-2 + -3m + -1m2) = 0 Reorder the terms: -2 + 2m + -3m + -1m2 = 0 Combine like terms: 2m + -3m = -1m -2 + -1m + -1m2 = 0 Solving -2 + -1m + -1m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + m + m2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + m + m2)' equal to zero and attempt to solve: Simplifying 2 + m + m2 = 0 Solving 2 + m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + m + -2 + m2 = 0 + -2 Reorder the terms: 2 + -2 + m + m2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m + m2 = 0 + -2 m + m2 = 0 + -2 Combine like terms: 0 + -2 = -2 m + m2 = -2 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 = -2 + 0.25 Reorder the terms: 0.25 + m + m2 = -2 + 0.25 Combine like terms: -2 + 0.25 = -1.75 0.25 + m + m2 = -1.75 Factor a perfect square on the left side: (m + 0.5)(m + 0.5) = -1.75 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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