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Simplifying a7 + 7a6b + -8a5b2 = 0 Reorder the terms: -8a5b2 + 7a6b + a7 = 0 Solving -8a5b2 + 7a6b + a7 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a5'. a5(-8b2 + 7ab + a2) = 0 Factor a trinomial. a5((-8b + -1a)(b + -1a)) = 0Subproblem 1
Set the factor 'a5' equal to zero and attempt to solve: Simplifying a5 = 0 Solving a5 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a5 = 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 '(-8b + -1a)' equal to zero and attempt to solve: Simplifying -8b + -1a = 0 Reorder the terms: -1a + -8b = 0 Solving -1a + -8b = 0 Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. -1a + -8b + 8b = 0 + 8b Combine like terms: -8b + 8b = 0 -1a + 0 = 0 + 8b -1a = 0 + 8b Remove the zero: -1a = 8b Divide each side by '-1'. a = -8b Simplifying a = -8bSubproblem 3
Set the factor '(b + -1a)' equal to zero and attempt to solve: Simplifying b + -1a = 0 Reorder the terms: -1a + b = 0 Solving -1a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. -1a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 -1a + 0 = 0 + -1b -1a = 0 + -1b Remove the zero: -1a = -1b Divide each side by '-1'. a = b Simplifying a = bSolution
a = {-8b, b}
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