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Simplifying 0 = hb + qb Solving 0 = bh + bq Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1bh' to each side of the equation. 0 + -1bh = bh + -1bh + bq Remove the zero: -1bh = bh + -1bh + bq Combine like terms: bh + -1bh = 0 -1bh = 0 + bq -1bh = bq Add '-1bq' to each side of the equation. -1bh + -1bq = bq + -1bq Combine like terms: bq + -1bq = 0 -1bh + -1bq = 0 Factor out the Greatest Common Factor (GCF), '-1b'. -1b(h + q) = 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 '(h + q)' equal to zero and attempt to solve: Simplifying h + q = 0 Solving h + q = 0 Move all terms containing b to the left, all other terms to the right. Add '-1h' to each side of the equation. h + -1h + q = 0 + -1h Combine like terms: h + -1h = 0 0 + q = 0 + -1h q = 0 + -1h Remove the zero: q = -1h Add '-1q' to each side of the equation. q + -1q = -1h + -1q Combine like terms: q + -1q = 0 0 = -1h + -1q Simplifying 0 = -1h + -1q 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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