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Simplifying 10m2 + -11m + 23 = 12 Reorder the terms: 23 + -11m + 10m2 = 12 Solving 23 + -11m + 10m2 = 12 Solving for variable 'm'. Reorder the terms: 23 + -12 + -11m + 10m2 = 12 + -12 Combine like terms: 23 + -12 = 11 11 + -11m + 10m2 = 12 + -12 Combine like terms: 12 + -12 = 0 11 + -11m + 10m2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1.1 + -1.1m + m2 = 0 Move the constant term to the right: Add '-1.1' to each side of the equation. 1.1 + -1.1m + -1.1 + m2 = 0 + -1.1 Reorder the terms: 1.1 + -1.1 + -1.1m + m2 = 0 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + -1.1m + m2 = 0 + -1.1 -1.1m + m2 = 0 + -1.1 Combine like terms: 0 + -1.1 = -1.1 -1.1m + m2 = -1.1 The m term is -1.1m. Take half its coefficient (-0.55). Square it (0.3025) and add it to both sides. Add '0.3025' to each side of the equation. -1.1m + 0.3025 + m2 = -1.1 + 0.3025 Reorder the terms: 0.3025 + -1.1m + m2 = -1.1 + 0.3025 Combine like terms: -1.1 + 0.3025 = -0.7975 0.3025 + -1.1m + m2 = -0.7975 Factor a perfect square on the left side: (m + -0.55)(m + -0.55) = -0.7975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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