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Simplifying 5m * 5m + 27m + 34 = 0 Reorder the terms for easier multiplication: 5 * 5m * m + 27m + 34 = 0 Multiply 5 * 5 25m * m + 27m + 34 = 0 Multiply m * m 25m2 + 27m + 34 = 0 Reorder the terms: 34 + 27m + 25m2 = 0 Solving 34 + 27m + 25m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 1.36 + 1.08m + m2 = 0 Move the constant term to the right: Add '-1.36' to each side of the equation. 1.36 + 1.08m + -1.36 + m2 = 0 + -1.36 Reorder the terms: 1.36 + -1.36 + 1.08m + m2 = 0 + -1.36 Combine like terms: 1.36 + -1.36 = 0.00 0.00 + 1.08m + m2 = 0 + -1.36 1.08m + m2 = 0 + -1.36 Combine like terms: 0 + -1.36 = -1.36 1.08m + m2 = -1.36 The m term is 1.08m. Take half its coefficient (0.54). Square it (0.2916) and add it to both sides. Add '0.2916' to each side of the equation. 1.08m + 0.2916 + m2 = -1.36 + 0.2916 Reorder the terms: 0.2916 + 1.08m + m2 = -1.36 + 0.2916 Combine like terms: -1.36 + 0.2916 = -1.0684 0.2916 + 1.08m + m2 = -1.0684 Factor a perfect square on the left side: (m + 0.54)(m + 0.54) = -1.0684 Can't calculate square root of the right side. The solution to this equation could not be determined.
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