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Simplifying 8m2 + -11m + 3 = -5 Reorder the terms: 3 + -11m + 8m2 = -5 Solving 3 + -11m + 8m2 = -5 Solving for variable 'm'. Reorder the terms: 3 + 5 + -11m + 8m2 = -5 + 5 Combine like terms: 3 + 5 = 8 8 + -11m + 8m2 = -5 + 5 Combine like terms: -5 + 5 = 0 8 + -11m + 8m2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1 + -1.375m + m2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.375m + -1 + m2 = 0 + -1 Reorder the terms: 1 + -1 + -1.375m + m2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.375m + m2 = 0 + -1 -1.375m + m2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.375m + m2 = -1 The m term is -1.375m. Take half its coefficient (-0.6875). Square it (0.47265625) and add it to both sides. Add '0.47265625' to each side of the equation. -1.375m + 0.47265625 + m2 = -1 + 0.47265625 Reorder the terms: 0.47265625 + -1.375m + m2 = -1 + 0.47265625 Combine like terms: -1 + 0.47265625 = -0.52734375 0.47265625 + -1.375m + m2 = -0.52734375 Factor a perfect square on the left side: (m + -0.6875)(m + -0.6875) = -0.52734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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