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Simplifying a2 + -16a + 10 = -54 Reorder the terms: 10 + -16a + a2 = -54 Solving 10 + -16a + a2 = -54 Solving for variable 'a'. Reorder the terms: 10 + 54 + -16a + a2 = -54 + 54 Combine like terms: 10 + 54 = 64 64 + -16a + a2 = -54 + 54 Combine like terms: -54 + 54 = 0 64 + -16a + a2 = 0 Factor a trinomial. (8 + -1a)(8 + -1a) = 0Subproblem 1
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 = 8Subproblem 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 = {8, 8}
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