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Simplifying a2 = -16 + 10a Solving a2 = -16 + 10a Solving for variable 'a'. Reorder the terms: 16 + -10a + a2 = -16 + 10a + 16 + -10a Reorder the terms: 16 + -10a + a2 = -16 + 16 + 10a + -10a Combine like terms: -16 + 16 = 0 16 + -10a + a2 = 0 + 10a + -10a 16 + -10a + a2 = 10a + -10a Combine like terms: 10a + -10a = 0 16 + -10a + a2 = 0 Factor a trinomial. (2 + -1a)(8 + -1a) = 0Subproblem 1
Set the factor '(2 + -1a)' equal to zero and attempt to solve: Simplifying 2 + -1a = 0 Solving 2 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 0 + -2 -1a = 0 + -2 Combine like terms: 0 + -2 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2Subproblem 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 = {2, 8}
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