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Simplifying m2 + -4m + 8 + 7 = 4 Reorder the terms: 8 + 7 + -4m + m2 = 4 Combine like terms: 8 + 7 = 15 15 + -4m + m2 = 4 Solving 15 + -4m + m2 = 4 Solving for variable 'm'. Reorder the terms: 15 + -4 + -4m + m2 = 4 + -4 Combine like terms: 15 + -4 = 11 11 + -4m + m2 = 4 + -4 Combine like terms: 4 + -4 = 0 11 + -4m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -4m + -11 + m2 = 0 + -11 Reorder the terms: 11 + -11 + -4m + m2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4m + m2 = 0 + -11 -4m + m2 = 0 + -11 Combine like terms: 0 + -11 = -11 -4m + m2 = -11 The m term is -4m. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4m + 4 + m2 = -11 + 4 Reorder the terms: 4 + -4m + m2 = -11 + 4 Combine like terms: -11 + 4 = -7 4 + -4m + m2 = -7 Factor a perfect square on the left side: (m + -2)(m + -2) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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