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Simplifying 20m2 + -8m + 35 = 0 Reorder the terms: 35 + -8m + 20m2 = 0 Solving 35 + -8m + 20m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 1.75 + -0.4m + m2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -0.4m + -1.75 + m2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -0.4m + m2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -0.4m + m2 = 0 + -1.75 -0.4m + m2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -0.4m + m2 = -1.75 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 = -1.75 + 0.04 Reorder the terms: 0.04 + -0.4m + m2 = -1.75 + 0.04 Combine like terms: -1.75 + 0.04 = -1.71 0.04 + -0.4m + m2 = -1.71 Factor a perfect square on the left side: (m + -0.2)(m + -0.2) = -1.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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