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Simplifying 4m2 + -9m + 56 = 0 Reorder the terms: 56 + -9m + 4m2 = 0 Solving 56 + -9m + 4m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 14 + -2.25m + m2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + -2.25m + -14 + m2 = 0 + -14 Reorder the terms: 14 + -14 + -2.25m + m2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2.25m + m2 = 0 + -14 -2.25m + m2 = 0 + -14 Combine like terms: 0 + -14 = -14 -2.25m + m2 = -14 The m term is -2.25m. Take half its coefficient (-1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. -2.25m + 1.265625 + m2 = -14 + 1.265625 Reorder the terms: 1.265625 + -2.25m + m2 = -14 + 1.265625 Combine like terms: -14 + 1.265625 = -12.734375 1.265625 + -2.25m + m2 = -12.734375 Factor a perfect square on the left side: (m + -1.125)(m + -1.125) = -12.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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