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Simplifying 8m2 + -9m + 4 = 0 Reorder the terms: 4 + -9m + 8m2 = 0 Solving 4 + -9m + 8m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.5 + -1.125m + m2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -1.125m + -0.5 + m2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -1.125m + m2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1.125m + m2 = 0 + -0.5 -1.125m + m2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -1.125m + m2 = -0.5 The m term is -1.125m. Take half its coefficient (-0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. -1.125m + 0.31640625 + m2 = -0.5 + 0.31640625 Reorder the terms: 0.31640625 + -1.125m + m2 = -0.5 + 0.31640625 Combine like terms: -0.5 + 0.31640625 = -0.18359375 0.31640625 + -1.125m + m2 = -0.18359375 Factor a perfect square on the left side: (m + -0.5625)(m + -0.5625) = -0.18359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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