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Simplifying (B + 1)(2b + -8) = 0 Reorder the terms: (1 + B)(2b + -8) = 0 Reorder the terms: (1 + B)(-8 + 2b) = 0 Multiply (1 + B) * (-8 + 2b) (1(-8 + 2b) + B(-8 + 2b)) = 0 ((-8 * 1 + 2b * 1) + B(-8 + 2b)) = 0 ((-8 + 2b) + B(-8 + 2b)) = 0 (-8 + 2b + (-8 * B + 2b * B)) = 0 (-8 + 2b + (-8B + 2bB)) = 0 Reorder the terms: (-8 + -8B + 2b + 2bB) = 0 (-8 + -8B + 2b + 2bB) = 0 Solving -8 + -8B + 2b + 2bB = 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 + -8B + 2b + 8 + 2bB = 0 + 8 Reorder the terms: -8 + 8 + -8B + 2b + 2bB = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -8B + 2b + 2bB = 0 + 8 -8B + 2b + 2bB = 0 + 8 Combine like terms: 0 + 8 = 8 -8B + 2b + 2bB = 8 Add '-2b' to each side of the equation. -8B + 2b + -2b + 2bB = 8 + -2b Combine like terms: 2b + -2b = 0 -8B + 0 + 2bB = 8 + -2b -8B + 2bB = 8 + -2b Reorder the terms: -8 + -8B + 2b + 2bB = 8 + -2b + -8 + 2b Reorder the terms: -8 + -8B + 2b + 2bB = 8 + -8 + -2b + 2b Combine like terms: 8 + -8 = 0 -8 + -8B + 2b + 2bB = 0 + -2b + 2b -8 + -8B + 2b + 2bB = -2b + 2b Combine like terms: -2b + 2b = 0 -8 + -8B + 2b + 2bB = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + -4B + b + bB) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -4B + b + bB)' equal to zero and attempt to solve: Simplifying -4 + -4B + b + bB = 0 Solving -4 + -4B + b + bB = 0 Move all terms containing B to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -4B + b + 4 + bB = 0 + 4 Reorder the terms: -4 + 4 + -4B + b + bB = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4B + b + bB = 0 + 4 -4B + b + bB = 0 + 4 Combine like terms: 0 + 4 = 4 -4B + b + bB = 4 Add '-1b' to each side of the equation. -4B + b + -1b + bB = 4 + -1b Combine like terms: b + -1b = 0 -4B + 0 + bB = 4 + -1b -4B + bB = 4 + -1b 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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