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Simplifying -2m2 + -2m + -16 = -9 Reorder the terms: -16 + -2m + -2m2 = -9 Solving -16 + -2m + -2m2 = -9 Solving for variable 'm'. Reorder the terms: -16 + 9 + -2m + -2m2 = -9 + 9 Combine like terms: -16 + 9 = -7 -7 + -2m + -2m2 = -9 + 9 Combine like terms: -9 + 9 = 0 -7 + -2m + -2m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 2m + 2m2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 2m + 2m2)' equal to zero and attempt to solve: Simplifying 7 + 2m + 2m2 = 0 Solving 7 + 2m + 2m2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3.5 + m + m2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + m + -3.5 + m2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + m + m2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + m + m2 = 0 + -3.5 m + m2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 m + m2 = -3.5 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. + 0.25 + m2 = -3.5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + m2 = -3.5 + 0.25 Combine like terms: -3.5 + 0.25 = -3.25 1.25 + m2 = -3.25 Factor a perfect square on the left side: (m + 0.5)(m + 0.5) = -3.25 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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