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Simplifying m2 + 30 = 3m Reorder the terms: 30 + m2 = 3m Solving 30 + m2 = 3m Solving for variable 'm'. Reorder the terms: 30 + -3m + m2 = 3m + -3m Combine like terms: 3m + -3m = 0 30 + -3m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -3m + -30 + m2 = 0 + -30 Reorder the terms: 30 + -30 + -3m + m2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -3m + m2 = 0 + -30 -3m + m2 = 0 + -30 Combine like terms: 0 + -30 = -30 -3m + m2 = -30 The m term is -3m. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3m + 2.25 + m2 = -30 + 2.25 Reorder the terms: 2.25 + -3m + m2 = -30 + 2.25 Combine like terms: -30 + 2.25 = -27.75 2.25 + -3m + m2 = -27.75 Factor a perfect square on the left side: (m + -1.5)(m + -1.5) = -27.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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