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Simplifying m2 + -10m + 19 = -8 Reorder the terms: 19 + -10m + m2 = -8 Solving 19 + -10m + m2 = -8 Solving for variable 'm'. Reorder the terms: 19 + 8 + -10m + m2 = -8 + 8 Combine like terms: 19 + 8 = 27 27 + -10m + m2 = -8 + 8 Combine like terms: -8 + 8 = 0 27 + -10m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + -10m + -27 + m2 = 0 + -27 Reorder the terms: 27 + -27 + -10m + m2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -10m + m2 = 0 + -27 -10m + m2 = 0 + -27 Combine like terms: 0 + -27 = -27 -10m + m2 = -27 The m term is -10m. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10m + 25 + m2 = -27 + 25 Reorder the terms: 25 + -10m + m2 = -27 + 25 Combine like terms: -27 + 25 = -2 25 + -10m + m2 = -2 Factor a perfect square on the left side: (m + -5)(m + -5) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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