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Simplifying b10 + 5b9a + -24b8a2 = 0 Reorder the terms: 5ab9 + -24a2b8 + b10 = 0 Solving 5ab9 + -24a2b8 + b10 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'b8'. b8(5ab + -24a2 + b2) = 0 Factor a trinomial. b8((-8a + -1b)(3a + -1b)) = 0Subproblem 1
Set the factor 'b8' equal to zero and attempt to solve: Simplifying b8 = 0 Solving b8 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b8' to each side of the equation. b8 + -1b8 = 0 + -1b8 Remove the zero: 0 = -1b8 Simplifying 0 = -1b8 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 '(-8a + -1b)' equal to zero and attempt to solve: Simplifying -8a + -1b = 0 Solving -8a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. -8a + -1b + b = 0 + b Combine like terms: -1b + b = 0 -8a + 0 = 0 + b -8a = 0 + b Remove the zero: -8a = b Divide each side by '-8'. a = -0.125b Simplifying a = -0.125bSubproblem 3
Set the factor '(3a + -1b)' equal to zero and attempt to solve: Simplifying 3a + -1b = 0 Solving 3a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 3a + -1b + b = 0 + b Combine like terms: -1b + b = 0 3a + 0 = 0 + b 3a = 0 + b Remove the zero: 3a = b Divide each side by '3'. a = 0.3333333333b Simplifying a = 0.3333333333bSolution
a = {-0.125b, 0.3333333333b}
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