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Simplifying 6m + -1 = 40m2 Reorder the terms: -1 + 6m = 40m2 Solving -1 + 6m = 40m2 Solving for variable 'm'. Combine like terms: 40m2 + -40m2 = 0 -1 + 6m + -40m2 = 0 Begin completing the square. Divide all terms by -40 the coefficient of the squared term: Divide each side by '-40'. 0.025 + -0.15m + m2 = 0 Move the constant term to the right: Add '-0.025' to each side of the equation. 0.025 + -0.15m + -0.025 + m2 = 0 + -0.025 Reorder the terms: 0.025 + -0.025 + -0.15m + m2 = 0 + -0.025 Combine like terms: 0.025 + -0.025 = 0.000 0.000 + -0.15m + m2 = 0 + -0.025 -0.15m + m2 = 0 + -0.025 Combine like terms: 0 + -0.025 = -0.025 -0.15m + m2 = -0.025 The m term is -0.15m. Take half its coefficient (-0.075). Square it (0.005625) and add it to both sides. Add '0.005625' to each side of the equation. -0.15m + 0.005625 + m2 = -0.025 + 0.005625 Reorder the terms: 0.005625 + -0.15m + m2 = -0.025 + 0.005625 Combine like terms: -0.025 + 0.005625 = -0.019375 0.005625 + -0.15m + m2 = -0.019375 Factor a perfect square on the left side: (m + -0.075)(m + -0.075) = -0.019375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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