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Simplifying 4m2 = 12m + -15 Reorder the terms: 4m2 = -15 + 12m Solving 4m2 = -15 + 12m Solving for variable 'm'. Reorder the terms: 15 + -12m + 4m2 = -15 + 12m + 15 + -12m Reorder the terms: 15 + -12m + 4m2 = -15 + 15 + 12m + -12m Combine like terms: -15 + 15 = 0 15 + -12m + 4m2 = 0 + 12m + -12m 15 + -12m + 4m2 = 12m + -12m Combine like terms: 12m + -12m = 0 15 + -12m + 4m2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3.75 + -3m + m2 = 0 Move the constant term to the right: Add '-3.75' to each side of the equation. 3.75 + -3m + -3.75 + m2 = 0 + -3.75 Reorder the terms: 3.75 + -3.75 + -3m + m2 = 0 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -3m + m2 = 0 + -3.75 -3m + m2 = 0 + -3.75 Combine like terms: 0 + -3.75 = -3.75 -3m + m2 = -3.75 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 = -3.75 + 2.25 Reorder the terms: 2.25 + -3m + m2 = -3.75 + 2.25 Combine like terms: -3.75 + 2.25 = -1.5 2.25 + -3m + m2 = -1.5 Factor a perfect square on the left side: (m + -1.5)(m + -1.5) = -1.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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