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Simplifying (m2 + -2m + 24) + -2(m + -3) = 0 Reorder the terms: (24 + -2m + m2) + -2(m + -3) = 0 Remove parenthesis around (24 + -2m + m2) 24 + -2m + m2 + -2(m + -3) = 0 Reorder the terms: 24 + -2m + m2 + -2(-3 + m) = 0 24 + -2m + m2 + (-3 * -2 + m * -2) = 0 24 + -2m + m2 + (6 + -2m) = 0 Reorder the terms: 24 + 6 + -2m + -2m + m2 = 0 Combine like terms: 24 + 6 = 30 30 + -2m + -2m + m2 = 0 Combine like terms: -2m + -2m = -4m 30 + -4m + m2 = 0 Solving 30 + -4m + m2 = 0 Solving for variable 'm'. Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -4m + -30 + m2 = 0 + -30 Reorder the terms: 30 + -30 + -4m + m2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -4m + m2 = 0 + -30 -4m + m2 = 0 + -30 Combine like terms: 0 + -30 = -30 -4m + m2 = -30 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 = -30 + 4 Reorder the terms: 4 + -4m + m2 = -30 + 4 Combine like terms: -30 + 4 = -26 4 + -4m + m2 = -26 Factor a perfect square on the left side: (m + -2)(m + -2) = -26 Can't calculate square root of the right side. The solution to this equation could not be determined.
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