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Simplifying b(-5v + -4) + -2b(v + 4) = 0 Reorder the terms: b(-4 + -5v) + -2b(v + 4) = 0 (-4 * b + -5v * b) + -2b(v + 4) = 0 (-4b + -5bv) + -2b(v + 4) = 0 Reorder the terms: -4b + -5bv + -2b(4 + v) = 0 -4b + -5bv + (4 * -2b + v * -2b) = 0 -4b + -5bv + (-8b + -2bv) = 0 Reorder the terms: -4b + -8b + -5bv + -2bv = 0 Combine like terms: -4b + -8b = -12b -12b + -5bv + -2bv = 0 Combine like terms: -5bv + -2bv = -7bv -12b + -7bv = 0 Solving -12b + -7bv = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-1b'. -1b(12 + 7v) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(12 + 7v)' equal to zero and attempt to solve: Simplifying 12 + 7v = 0 Solving 12 + 7v = 0 Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7v = 0 + -12 7v = 0 + -12 Combine like terms: 0 + -12 = -12 7v = -12 Add '-7v' to each side of the equation. 7v + -7v = -12 + -7v Combine like terms: 7v + -7v = 0 0 = -12 + -7v Simplifying 0 = -12 + -7v The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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