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Simplifying -1a2 = 16 + -8a Solving -1a2 = 16 + -8a Solving for variable 'a'. Reorder the terms: -16 + 8a + -1a2 = 16 + -8a + -16 + 8a Reorder the terms: -16 + 8a + -1a2 = 16 + -16 + -8a + 8a Combine like terms: 16 + -16 = 0 -16 + 8a + -1a2 = 0 + -8a + 8a -16 + 8a + -1a2 = -8a + 8a Combine like terms: -8a + 8a = 0 -16 + 8a + -1a2 = 0 Factor a trinomial. (-4 + a)(4 + -1a) = 0Subproblem 1
Set the factor '(-4 + a)' equal to zero and attempt to solve: Simplifying -4 + a = 0 Solving -4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + a = 0 + 4 a = 0 + 4 Combine like terms: 0 + 4 = 4 a = 4 Simplifying a = 4Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4Solution
a = {4, 4}
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