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Simplifying 5b9 + -5b8 + -10b7 = 0 Reorder the terms: -10b7 + -5b8 + 5b9 = 0 Solving -10b7 + -5b8 + 5b9 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b7'. 5b7(-2 + -1b + b2) = 0 Factor a trinomial. 5b7((-1 + -1b)(2 + -1b)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'b7' equal to zero and attempt to solve: Simplifying b7 = 0 Solving b7 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b7 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + -1b)' equal to zero and attempt to solve: Simplifying -1 + -1b = 0 Solving -1 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1b = 0 + 1 -1b = 0 + 1 Combine like terms: 0 + 1 = 1 -1b = 1 Divide each side by '-1'. b = -1 Simplifying b = -1Subproblem 3
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Solution
b = {-1, 2}
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