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Simplifying (10.8b2 + -5.7b + 7.2) + -1(2.9b2 + -4.6b + -3.1) = 0 Reorder the terms: (7.2 + -5.7b + 10.8b2) + -1(2.9b2 + -4.6b + -3.1) = 0 Remove parenthesis around (7.2 + -5.7b + 10.8b2) 7.2 + -5.7b + 10.8b2 + -1(2.9b2 + -4.6b + -3.1) = 0 Reorder the terms: 7.2 + -5.7b + 10.8b2 + -1(-3.1 + -4.6b + 2.9b2) = 0 7.2 + -5.7b + 10.8b2 + (-3.1 * -1 + -4.6b * -1 + 2.9b2 * -1) = 0 7.2 + -5.7b + 10.8b2 + (3.1 + 4.6b + -2.9b2) = 0 Reorder the terms: 7.2 + 3.1 + -5.7b + 4.6b + 10.8b2 + -2.9b2 = 0 Combine like terms: 7.2 + 3.1 = 10.3 10.3 + -5.7b + 4.6b + 10.8b2 + -2.9b2 = 0 Combine like terms: -5.7b + 4.6b = -1.1b 10.3 + -1.1b + 10.8b2 + -2.9b2 = 0 Combine like terms: 10.8b2 + -2.9b2 = 7.9b2 10.3 + -1.1b + 7.9b2 = 0 Solving 10.3 + -1.1b + 7.9b2 = 0 Solving for variable 'b'. Begin completing the square. Divide all terms by 7.9 the coefficient of the squared term: Divide each side by '7.9'. 1.303797468 + -0.1392405063b + b2 = 0 Move the constant term to the right: Add '-1.303797468' to each side of the equation. 1.303797468 + -0.1392405063b + -1.303797468 + b2 = 0 + -1.303797468 Reorder the terms: 1.303797468 + -1.303797468 + -0.1392405063b + b2 = 0 + -1.303797468 Combine like terms: 1.303797468 + -1.303797468 = 0.000000000 0.000000000 + -0.1392405063b + b2 = 0 + -1.303797468 -0.1392405063b + b2 = 0 + -1.303797468 Combine like terms: 0 + -1.303797468 = -1.303797468 -0.1392405063b + b2 = -1.303797468 The b term is -0.1392405063b. Take half its coefficient (-0.06962025315). Square it (0.004846979649) and add it to both sides. Add '0.004846979649' to each side of the equation. -0.1392405063b + 0.004846979649 + b2 = -1.303797468 + 0.004846979649 Reorder the terms: 0.004846979649 + -0.1392405063b + b2 = -1.303797468 + 0.004846979649 Combine like terms: -1.303797468 + 0.004846979649 = -1.298950488351 0.004846979649 + -0.1392405063b + b2 = -1.298950488351 Factor a perfect square on the left side: (b + -0.06962025315)(b + -0.06962025315) = -1.298950488351 Can't calculate square root of the right side. The solution to this equation could not be determined.
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