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Simplifying 5m2 + -6m + 5 = 3 Reorder the terms: 5 + -6m + 5m2 = 3 Solving 5 + -6m + 5m2 = 3 Solving for variable 'm'. Reorder the terms: 5 + -3 + -6m + 5m2 = 3 + -3 Combine like terms: 5 + -3 = 2 2 + -6m + 5m2 = 3 + -3 Combine like terms: 3 + -3 = 0 2 + -6m + 5m2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.4 + -1.2m + m2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + -1.2m + -0.4 + m2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + -1.2m + m2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -1.2m + m2 = 0 + -0.4 -1.2m + m2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 -1.2m + m2 = -0.4 The m term is -1.2m. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2m + 0.36 + m2 = -0.4 + 0.36 Reorder the terms: 0.36 + -1.2m + m2 = -0.4 + 0.36 Combine like terms: -0.4 + 0.36 = -0.04 0.36 + -1.2m + m2 = -0.04 Factor a perfect square on the left side: (m + -0.6)(m + -0.6) = -0.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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