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Simplifying 5a9 + -15a8 + -200a7 = 0 Reorder the terms: -200a7 + -15a8 + 5a9 = 0 Solving -200a7 + -15a8 + 5a9 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a7'. 5a7(-40 + -3a + a2) = 0 Factor a trinomial. 5a7((-5 + -1a)(8 + -1a)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a7' equal to zero and attempt to solve: Simplifying a7 = 0 Solving a7 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a7 = 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 '(-5 + -1a)' equal to zero and attempt to solve: Simplifying -5 + -1a = 0 Solving -5 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1a = 0 + 5 -1a = 0 + 5 Combine like terms: 0 + 5 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5Subproblem 3
Set the factor '(8 + -1a)' equal to zero and attempt to solve: Simplifying 8 + -1a = 0 Solving 8 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = 0 + -8 -1a = 0 + -8 Combine like terms: 0 + -8 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8Solution
a = {-5, 8}
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