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Simplifying 5m2 + -24m + 30 = 0 Reorder the terms: 30 + -24m + 5m2 = 0 Solving 30 + -24m + 5m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 6 + -4.8m + m2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -4.8m + -6 + m2 = 0 + -6 Reorder the terms: 6 + -6 + -4.8m + m2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4.8m + m2 = 0 + -6 -4.8m + m2 = 0 + -6 Combine like terms: 0 + -6 = -6 -4.8m + m2 = -6 The m term is -4.8m. Take half its coefficient (-2.4). Square it (5.76) and add it to both sides. Add '5.76' to each side of the equation. -4.8m + 5.76 + m2 = -6 + 5.76 Reorder the terms: 5.76 + -4.8m + m2 = -6 + 5.76 Combine like terms: -6 + 5.76 = -0.24 5.76 + -4.8m + m2 = -0.24 Factor a perfect square on the left side: (m + -2.4)(m + -2.4) = -0.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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