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Simplifying 10m2 + 5 = 4m Reorder the terms: 5 + 10m2 = 4m Solving 5 + 10m2 = 4m Solving for variable 'm'. Reorder the terms: 5 + -4m + 10m2 = 4m + -4m Combine like terms: 4m + -4m = 0 5 + -4m + 10m2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.5 + -0.4m + m2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.4m + -0.5 + m2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.4m + m2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.4m + m2 = 0 + -0.5 -0.4m + m2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.4m + m2 = -0.5 The m term is -0.4m. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4m + 0.04 + m2 = -0.5 + 0.04 Reorder the terms: 0.04 + -0.4m + m2 = -0.5 + 0.04 Combine like terms: -0.5 + 0.04 = -0.46 0.04 + -0.4m + m2 = -0.46 Factor a perfect square on the left side: (m + -0.2)(m + -0.2) = -0.46 Can't calculate square root of the right side. The solution to this equation could not be determined.
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