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Simplifying 45a2 + -320a + -320 = 0 Reorder the terms: -320 + -320a + 45a2 = 0 Solving -320 + -320a + 45a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5'. 5(-64 + -64a + 9a2) = 0 Factor a trinomial. 5((-8 + -9a)(8 + -1a)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-8 + -9a)' equal to zero and attempt to solve: Simplifying -8 + -9a = 0 Solving -8 + -9a = 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 + -9a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9a = 0 + 8 -9a = 0 + 8 Combine like terms: 0 + 8 = 8 -9a = 8 Divide each side by '-9'. a = -0.8888888889 Simplifying a = -0.8888888889Subproblem 2
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 = {-0.8888888889, 8}
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