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