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Simplifying m2 + 9m + 7 = -5 + 9(-5) + 7 Reorder the terms: 7 + 9m + m2 = -5 + 9(-5) + 7 Multiply 9 * -5 7 + 9m + m2 = -5 + -45 + 7 Combine like terms: -5 + -45 = -50 7 + 9m + m2 = -50 + 7 Combine like terms: -50 + 7 = -43 7 + 9m + m2 = -43 Solving 7 + 9m + m2 = -43 Solving for variable 'm'. Reorder the terms: 7 + 43 + 9m + m2 = -43 + 43 Combine like terms: 7 + 43 = 50 50 + 9m + m2 = -43 + 43 Combine like terms: -43 + 43 = 0 50 + 9m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + 9m + -50 + m2 = 0 + -50 Reorder the terms: 50 + -50 + 9m + m2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 9m + m2 = 0 + -50 9m + m2 = 0 + -50 Combine like terms: 0 + -50 = -50 9m + m2 = -50 The m term is 9m. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9m + 20.25 + m2 = -50 + 20.25 Reorder the terms: 20.25 + 9m + m2 = -50 + 20.25 Combine like terms: -50 + 20.25 = -29.75 20.25 + 9m + m2 = -29.75 Factor a perfect square on the left side: (m + 4.5)(m + 4.5) = -29.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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