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Simplifying 5m(-2m + 3) + -7m = 9 Reorder the terms: 5m(3 + -2m) + -7m = 9 (3 * 5m + -2m * 5m) + -7m = 9 (15m + -10m2) + -7m = 9 Reorder the terms: 15m + -7m + -10m2 = 9 Combine like terms: 15m + -7m = 8m 8m + -10m2 = 9 Solving 8m + -10m2 = 9 Solving for variable 'm'. Reorder the terms: -9 + 8m + -10m2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 8m + -10m2 = 0 Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 0.9 + -0.8m + m2 = 0.0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + -0.8m + -0.9 + m2 = 0.0 + -0.9 Reorder the terms: 0.9 + -0.9 + -0.8m + m2 = 0.0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.8m + m2 = 0.0 + -0.9 -0.8m + m2 = 0.0 + -0.9 Combine like terms: 0.0 + -0.9 = -0.9 -0.8m + m2 = -0.9 The m term is -0.8m. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8m + 0.16 + m2 = -0.9 + 0.16 Reorder the terms: 0.16 + -0.8m + m2 = -0.9 + 0.16 Combine like terms: -0.9 + 0.16 = -0.74 0.16 + -0.8m + m2 = -0.74 Factor a perfect square on the left side: (m + -0.4)(m + -0.4) = -0.74 Can't calculate square root of the right side. The solution to this equation could not be determined.
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