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Simplifying (B + -4)(b2 + 3b + -2) = 0 Reorder the terms: (-4 + B)(b2 + 3b + -2) = 0 Reorder the terms: (-4 + B)(-2 + 3b + b2) = 0 Multiply (-4 + B) * (-2 + 3b + b2) (-4(-2 + 3b + b2) + B(-2 + 3b + b2)) = 0 ((-2 * -4 + 3b * -4 + b2 * -4) + B(-2 + 3b + b2)) = 0 ((8 + -12b + -4b2) + B(-2 + 3b + b2)) = 0 (8 + -12b + -4b2 + (-2 * B + 3b * B + b2 * B)) = 0 (8 + -12b + -4b2 + (-2B + 3bB + b2B)) = 0 Reorder the terms: (8 + -2B + -12b + 3bB + -4b2 + b2B) = 0 (8 + -2B + -12b + 3bB + -4b2 + b2B) = 0 Solving 8 + -2B + -12b + 3bB + -4b2 + b2B = 0 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -2B + -12b + 3bB + -4b2 + -8 + b2B = 0 + -8 Reorder the terms: 8 + -8 + -2B + -12b + 3bB + -4b2 + b2B = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2B + -12b + 3bB + -4b2 + b2B = 0 + -8 -2B + -12b + 3bB + -4b2 + b2B = 0 + -8 Combine like terms: 0 + -8 = -8 -2B + -12b + 3bB + -4b2 + b2B = -8 Add '12b' to each side of the equation. -2B + -12b + 3bB + -4b2 + 12b + b2B = -8 + 12b Reorder the terms: -2B + -12b + 12b + 3bB + -4b2 + b2B = -8 + 12b Combine like terms: -12b + 12b = 0 -2B + 0 + 3bB + -4b2 + b2B = -8 + 12b -2B + 3bB + -4b2 + b2B = -8 + 12b Add '4b2' to each side of the equation. -2B + 3bB + -4b2 + 4b2 + b2B = -8 + 12b + 4b2 Combine like terms: -4b2 + 4b2 = 0 -2B + 3bB + 0 + b2B = -8 + 12b + 4b2 -2B + 3bB + b2B = -8 + 12b + 4b2 Reorder the terms: 8 + -2B + -12b + 3bB + -4b2 + b2B = -8 + 12b + 4b2 + 8 + -12b + -4b2 Reorder the terms: 8 + -2B + -12b + 3bB + -4b2 + b2B = -8 + 8 + 12b + -12b + 4b2 + -4b2 Combine like terms: -8 + 8 = 0 8 + -2B + -12b + 3bB + -4b2 + b2B = 0 + 12b + -12b + 4b2 + -4b2 8 + -2B + -12b + 3bB + -4b2 + b2B = 12b + -12b + 4b2 + -4b2 Combine like terms: 12b + -12b = 0 8 + -2B + -12b + 3bB + -4b2 + b2B = 0 + 4b2 + -4b2 8 + -2B + -12b + 3bB + -4b2 + b2B = 4b2 + -4b2 Combine like terms: 4b2 + -4b2 = 0 8 + -2B + -12b + 3bB + -4b2 + b2B = 0 The solution to this equation could not be determined.
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