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Simplifying (B + -3)(6b + -8) = 0 Reorder the terms: (-3 + B)(6b + -8) = 0 Reorder the terms: (-3 + B)(-8 + 6b) = 0 Multiply (-3 + B) * (-8 + 6b) (-3(-8 + 6b) + B(-8 + 6b)) = 0 ((-8 * -3 + 6b * -3) + B(-8 + 6b)) = 0 ((24 + -18b) + B(-8 + 6b)) = 0 (24 + -18b + (-8 * B + 6b * B)) = 0 (24 + -18b + (-8B + 6bB)) = 0 Reorder the terms: (24 + -8B + -18b + 6bB) = 0 (24 + -8B + -18b + 6bB) = 0 Solving 24 + -8B + -18b + 6bB = 0 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -8B + -18b + -24 + 6bB = 0 + -24 Reorder the terms: 24 + -24 + -8B + -18b + 6bB = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8B + -18b + 6bB = 0 + -24 -8B + -18b + 6bB = 0 + -24 Combine like terms: 0 + -24 = -24 -8B + -18b + 6bB = -24 Add '18b' to each side of the equation. -8B + -18b + 18b + 6bB = -24 + 18b Combine like terms: -18b + 18b = 0 -8B + 0 + 6bB = -24 + 18b -8B + 6bB = -24 + 18b Reorder the terms: 24 + -8B + -18b + 6bB = -24 + 18b + 24 + -18b Reorder the terms: 24 + -8B + -18b + 6bB = -24 + 24 + 18b + -18b Combine like terms: -24 + 24 = 0 24 + -8B + -18b + 6bB = 0 + 18b + -18b 24 + -8B + -18b + 6bB = 18b + -18b Combine like terms: 18b + -18b = 0 24 + -8B + -18b + 6bB = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + -4B + -9b + 3bB) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + -4B + -9b + 3bB)' equal to zero and attempt to solve: Simplifying 12 + -4B + -9b + 3bB = 0 Solving 12 + -4B + -9b + 3bB = 0 Move all terms containing B to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -4B + -9b + -12 + 3bB = 0 + -12 Reorder the terms: 12 + -12 + -4B + -9b + 3bB = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4B + -9b + 3bB = 0 + -12 -4B + -9b + 3bB = 0 + -12 Combine like terms: 0 + -12 = -12 -4B + -9b + 3bB = -12 Add '9b' to each side of the equation. -4B + -9b + 9b + 3bB = -12 + 9b Combine like terms: -9b + 9b = 0 -4B + 0 + 3bB = -12 + 9b -4B + 3bB = -12 + 9b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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