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Simplifying 2m2 + 2m = -10 Reorder the terms: 2m + 2m2 = -10 Solving 2m + 2m2 = -10 Solving for variable 'm'. Reorder the terms: 10 + 2m + 2m2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 2m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + m + m2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + m + m2)' equal to zero and attempt to solve: Simplifying 5 + m + m2 = 0 Solving 5 + m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + m + -5 + m2 = 0 + -5 Reorder the terms: 5 + -5 + m + m2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m + m2 = 0 + -5 m + m2 = 0 + -5 Combine like terms: 0 + -5 = -5 m + m2 = -5 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 = -5 + 0.25 Reorder the terms: 0.25 + m + m2 = -5 + 0.25 Combine like terms: -5 + 0.25 = -4.75 0.25 + m + m2 = -4.75 Factor a perfect square on the left side: (m + 0.5)(m + 0.5) = -4.75 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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