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Simplifying 2a2 + 8 + -1(a + -5 + 5a2) + -9a = 0 Reorder the terms: 2a2 + 8 + -1(-5 + a + 5a2) + -9a = 0 2a2 + 8 + (-5 * -1 + a * -1 + 5a2 * -1) + -9a = 0 2a2 + 8 + (5 + -1a + -5a2) + -9a = 0 Reorder the terms: 8 + 5 + -1a + -9a + 2a2 + -5a2 = 0 Combine like terms: 8 + 5 = 13 13 + -1a + -9a + 2a2 + -5a2 = 0 Combine like terms: -1a + -9a = -10a 13 + -10a + 2a2 + -5a2 = 0 Combine like terms: 2a2 + -5a2 = -3a2 13 + -10a + -3a2 = 0 Solving 13 + -10a + -3a2 = 0 Solving for variable 'a'. Factor a trinomial. (1 + -1a)(13 + 3a) = 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 '(13 + 3a)' equal to zero and attempt to solve: Simplifying 13 + 3a = 0 Solving 13 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 3a = 0 + -13 3a = 0 + -13 Combine like terms: 0 + -13 = -13 3a = -13 Divide each side by '3'. a = -4.333333333 Simplifying a = -4.333333333Solution
a = {1, -4.333333333}
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