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Simplifying a(13a + 5) = 8 Reorder the terms: a(5 + 13a) = 8 (5 * a + 13a * a) = 8 (5a + 13a2) = 8 Solving 5a + 13a2 = 8 Solving for variable 'a'. Reorder the terms: -8 + 5a + 13a2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 5a + 13a2 = 0 Factor a trinomial. (-1 + -1a)(8 + -13a) = 0Subproblem 1
Set the factor '(-1 + -1a)' equal to zero and attempt to solve: Simplifying -1 + -1a = 0 Solving -1 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1a = 0 + 1 -1a = 0 + 1 Combine like terms: 0 + 1 = 1 -1a = 1 Divide each side by '-1'. a = -1 Simplifying a = -1Subproblem 2
Set the factor '(8 + -13a)' equal to zero and attempt to solve: Simplifying 8 + -13a = 0 Solving 8 + -13a = 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 + -13a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -13a = 0 + -8 -13a = 0 + -8 Combine like terms: 0 + -8 = -8 -13a = -8 Divide each side by '-13'. a = 0.6153846154 Simplifying a = 0.6153846154Solution
a = {-1, 0.6153846154}
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