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Simplifying (B + 4)(b2 + 3b + -18) = 0 Reorder the terms: (4 + B)(b2 + 3b + -18) = 0 Reorder the terms: (4 + B)(-18 + 3b + b2) = 0 Multiply (4 + B) * (-18 + 3b + b2) (4(-18 + 3b + b2) + B(-18 + 3b + b2)) = 0 ((-18 * 4 + 3b * 4 + b2 * 4) + B(-18 + 3b + b2)) = 0 ((-72 + 12b + 4b2) + B(-18 + 3b + b2)) = 0 (-72 + 12b + 4b2 + (-18 * B + 3b * B + b2 * B)) = 0 (-72 + 12b + 4b2 + (-18B + 3bB + b2B)) = 0 Reorder the terms: (-72 + -18B + 12b + 3bB + 4b2 + b2B) = 0 (-72 + -18B + 12b + 3bB + 4b2 + b2B) = 0 Solving -72 + -18B + 12b + 3bB + 4b2 + b2B = 0 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '72' to each side of the equation. -72 + -18B + 12b + 3bB + 4b2 + 72 + b2B = 0 + 72 Reorder the terms: -72 + 72 + -18B + 12b + 3bB + 4b2 + b2B = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -18B + 12b + 3bB + 4b2 + b2B = 0 + 72 -18B + 12b + 3bB + 4b2 + b2B = 0 + 72 Combine like terms: 0 + 72 = 72 -18B + 12b + 3bB + 4b2 + b2B = 72 Add '-12b' to each side of the equation. -18B + 12b + 3bB + 4b2 + -12b + b2B = 72 + -12b Reorder the terms: -18B + 12b + -12b + 3bB + 4b2 + b2B = 72 + -12b Combine like terms: 12b + -12b = 0 -18B + 0 + 3bB + 4b2 + b2B = 72 + -12b -18B + 3bB + 4b2 + b2B = 72 + -12b Add '-4b2' to each side of the equation. -18B + 3bB + 4b2 + -4b2 + b2B = 72 + -12b + -4b2 Combine like terms: 4b2 + -4b2 = 0 -18B + 3bB + 0 + b2B = 72 + -12b + -4b2 -18B + 3bB + b2B = 72 + -12b + -4b2 Reorder the terms: -72 + -18B + 12b + 3bB + 4b2 + b2B = 72 + -12b + -4b2 + -72 + 12b + 4b2 Reorder the terms: -72 + -18B + 12b + 3bB + 4b2 + b2B = 72 + -72 + -12b + 12b + -4b2 + 4b2 Combine like terms: 72 + -72 = 0 -72 + -18B + 12b + 3bB + 4b2 + b2B = 0 + -12b + 12b + -4b2 + 4b2 -72 + -18B + 12b + 3bB + 4b2 + b2B = -12b + 12b + -4b2 + 4b2 Combine like terms: -12b + 12b = 0 -72 + -18B + 12b + 3bB + 4b2 + b2B = 0 + -4b2 + 4b2 -72 + -18B + 12b + 3bB + 4b2 + b2B = -4b2 + 4b2 Combine like terms: -4b2 + 4b2 = 0 -72 + -18B + 12b + 3bB + 4b2 + b2B = 0 The solution to this equation could not be determined.
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