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Simplifying -1m2 + -6m + -19 = 0 Reorder the terms: -19 + -6m + -1m2 = 0 Solving -19 + -6m + -1m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '-1'. -1(19 + 6m + m2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(19 + 6m + m2)' equal to zero and attempt to solve: Simplifying 19 + 6m + m2 = 0 Solving 19 + 6m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + 6m + -19 + m2 = 0 + -19 Reorder the terms: 19 + -19 + 6m + m2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 6m + m2 = 0 + -19 6m + m2 = 0 + -19 Combine like terms: 0 + -19 = -19 6m + m2 = -19 The m term is 6m. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6m + 9 + m2 = -19 + 9 Reorder the terms: 9 + 6m + m2 = -19 + 9 Combine like terms: -19 + 9 = -10 9 + 6m + m2 = -10 Factor a perfect square on the left side: (m + 3)(m + 3) = -10 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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