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Simplifying 8m + -1m(m + 3) = 12 Reorder the terms: 8m + -1m(3 + m) = 12 8m + (3 * -1m + m * -1m) = 12 8m + (-3m + -1m2) = 12 Combine like terms: 8m + -3m = 5m 5m + -1m2 = 12 Solving 5m + -1m2 = 12 Solving for variable 'm'. Reorder the terms: -12 + 5m + -1m2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 5m + -1m2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 12 + -5m + m2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -5m + -12 + m2 = 0 + -12 Reorder the terms: 12 + -12 + -5m + m2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5m + m2 = 0 + -12 -5m + m2 = 0 + -12 Combine like terms: 0 + -12 = -12 -5m + m2 = -12 The m term is -5m. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5m + 6.25 + m2 = -12 + 6.25 Reorder the terms: 6.25 + -5m + m2 = -12 + 6.25 Combine like terms: -12 + 6.25 = -5.75 6.25 + -5m + m2 = -5.75 Factor a perfect square on the left side: (m + -2.5)(m + -2.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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