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Simplifying 16a + -1a2 = 55 Solving 16a + -1a2 = 55 Solving for variable 'a'. Reorder the terms: -55 + 16a + -1a2 = 55 + -55 Combine like terms: 55 + -55 = 0 -55 + 16a + -1a2 = 0 Factor a trinomial. (-11 + a)(5 + -1a) = 0Subproblem 1
Set the factor '(-11 + a)' equal to zero and attempt to solve: Simplifying -11 + a = 0 Solving -11 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + a = 0 + 11 a = 0 + 11 Combine like terms: 0 + 11 = 11 a = 11 Simplifying a = 11Subproblem 2
Set the factor '(5 + -1a)' equal to zero and attempt to solve: Simplifying 5 + -1a = 0 Solving 5 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = 0 + -5 -1a = 0 + -5 Combine like terms: 0 + -5 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5Solution
a = {11, 5}
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