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Simplifying 4m2 + 7m = -15 Reorder the terms: 7m + 4m2 = -15 Solving 7m + 4m2 = -15 Solving for variable 'm'. Reorder the terms: 15 + 7m + 4m2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + 7m + 4m2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3.75 + 1.75m + m2 = 0 Move the constant term to the right: Add '-3.75' to each side of the equation. 3.75 + 1.75m + -3.75 + m2 = 0 + -3.75 Reorder the terms: 3.75 + -3.75 + 1.75m + m2 = 0 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + 1.75m + m2 = 0 + -3.75 1.75m + m2 = 0 + -3.75 Combine like terms: 0 + -3.75 = -3.75 1.75m + m2 = -3.75 The m term is 1.75m. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75m + 0.765625 + m2 = -3.75 + 0.765625 Reorder the terms: 0.765625 + 1.75m + m2 = -3.75 + 0.765625 Combine like terms: -3.75 + 0.765625 = -2.984375 0.765625 + 1.75m + m2 = -2.984375 Factor a perfect square on the left side: (m + 0.875)(m + 0.875) = -2.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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