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Simplifying m2 + -2m + 93 = -3 Reorder the terms: 93 + -2m + m2 = -3 Solving 93 + -2m + m2 = -3 Solving for variable 'm'. Reorder the terms: 93 + 3 + -2m + m2 = -3 + 3 Combine like terms: 93 + 3 = 96 96 + -2m + m2 = -3 + 3 Combine like terms: -3 + 3 = 0 96 + -2m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-96' to each side of the equation. 96 + -2m + -96 + m2 = 0 + -96 Reorder the terms: 96 + -96 + -2m + m2 = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -2m + m2 = 0 + -96 -2m + m2 = 0 + -96 Combine like terms: 0 + -96 = -96 -2m + m2 = -96 The m term is -2m. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2m + 1 + m2 = -96 + 1 Reorder the terms: 1 + -2m + m2 = -96 + 1 Combine like terms: -96 + 1 = -95 1 + -2m + m2 = -95 Factor a perfect square on the left side: (m + -1)(m + -1) = -95 Can't calculate square root of the right side. The solution to this equation could not be determined.
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