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Simplifying (4v + -6)(8 + b) = 0 Reorder the terms: (-6 + 4v)(8 + b) = 0 Multiply (-6 + 4v) * (8 + b) (-6(8 + b) + 4v * (8 + b)) = 0 ((8 * -6 + b * -6) + 4v * (8 + b)) = 0 ((-48 + -6b) + 4v * (8 + b)) = 0 (-48 + -6b + (8 * 4v + b * 4v)) = 0 Reorder the terms: (-48 + -6b + (4bv + 32v)) = 0 (-48 + -6b + (4bv + 32v)) = 0 (-48 + -6b + 4bv + 32v) = 0 Solving -48 + -6b + 4bv + 32v = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '48' to each side of the equation. -48 + -6b + 4bv + 48 + 32v = 0 + 48 Reorder the terms: -48 + 48 + -6b + 4bv + 32v = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -6b + 4bv + 32v = 0 + 48 -6b + 4bv + 32v = 0 + 48 Combine like terms: 0 + 48 = 48 -6b + 4bv + 32v = 48 Add '-32v' to each side of the equation. -6b + 4bv + 32v + -32v = 48 + -32v Combine like terms: 32v + -32v = 0 -6b + 4bv + 0 = 48 + -32v -6b + 4bv = 48 + -32v Reorder the terms: -48 + -6b + 4bv + 32v = 48 + -32v + -48 + 32v Reorder the terms: -48 + -6b + 4bv + 32v = 48 + -48 + -32v + 32v Combine like terms: 48 + -48 = 0 -48 + -6b + 4bv + 32v = 0 + -32v + 32v -48 + -6b + 4bv + 32v = -32v + 32v Combine like terms: -32v + 32v = 0 -48 + -6b + 4bv + 32v = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + -3b + 2bv + 16v) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-24 + -3b + 2bv + 16v)' equal to zero and attempt to solve: Simplifying -24 + -3b + 2bv + 16v = 0 Solving -24 + -3b + 2bv + 16v = 0 Move all terms containing b to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -3b + 2bv + 24 + 16v = 0 + 24 Reorder the terms: -24 + 24 + -3b + 2bv + 16v = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -3b + 2bv + 16v = 0 + 24 -3b + 2bv + 16v = 0 + 24 Combine like terms: 0 + 24 = 24 -3b + 2bv + 16v = 24 Add '-16v' to each side of the equation. -3b + 2bv + 16v + -16v = 24 + -16v Combine like terms: 16v + -16v = 0 -3b + 2bv + 0 = 24 + -16v -3b + 2bv = 24 + -16v 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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