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Simplifying 24 = -1m(m + 3) + m Reorder the terms: 24 = -1m(3 + m) + m 24 = (3 * -1m + m * -1m) + m 24 = (-3m + -1m2) + m Reorder the terms: 24 = -3m + m + -1m2 Combine like terms: -3m + m = -2m 24 = -2m + -1m2 Solving 24 = -2m + -1m2 Solving for variable 'm'. Reorder the terms: 24 + 2m + m2 = -2m + 2m + -1m2 + m2 Combine like terms: -2m + 2m = 0 24 + 2m + m2 = 0 + -1m2 + m2 24 + 2m + m2 = -1m2 + m2 Combine like terms: -1m2 + m2 = 0 24 + 2m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + 2m + -24 + m2 = 0 + -24 Reorder the terms: 24 + -24 + 2m + m2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2m + m2 = 0 + -24 2m + m2 = 0 + -24 Combine like terms: 0 + -24 = -24 2m + m2 = -24 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 = -24 + 1 Reorder the terms: 1 + 2m + m2 = -24 + 1 Combine like terms: -24 + 1 = -23 1 + 2m + m2 = -23 Factor a perfect square on the left side: (m + 1)(m + 1) = -23 Can't calculate square root of the right side. The solution to this equation could not be determined.
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