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Simplifying m = 2m2 + 1 Reorder the terms: m = 1 + 2m2 Solving m = 1 + 2m2 Solving for variable 'm'. Reorder the terms: -1 + m + -2m2 = 1 + 2m2 + -1 + -2m2 Reorder the terms: -1 + m + -2m2 = 1 + -1 + 2m2 + -2m2 Combine like terms: 1 + -1 = 0 -1 + m + -2m2 = 0 + 2m2 + -2m2 -1 + m + -2m2 = 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 -1 + m + -2m2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 0.5 + -0.5m + m2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.5m + -0.5 + m2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.5m + m2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.5m + m2 = 0 + -0.5 -0.5m + m2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.5m + m2 = -0.5 The m term is m. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.5m + 0.25 + m2 = -0.5 + 0.25 Reorder the terms: 0.25 + -0.5m + m2 = -0.5 + 0.25 Combine like terms: -0.5 + 0.25 = -0.25 0.25 + -0.5m + m2 = -0.25 Factor a perfect square on the left side: (m + 0.5)(m + 0.5) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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