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Simplifying 3a2 = -16 + 16a Solving 3a2 = -16 + 16a Solving for variable 'a'. Reorder the terms: 16 + -16a + 3a2 = -16 + 16a + 16 + -16a Reorder the terms: 16 + -16a + 3a2 = -16 + 16 + 16a + -16a Combine like terms: -16 + 16 = 0 16 + -16a + 3a2 = 0 + 16a + -16a 16 + -16a + 3a2 = 16a + -16a Combine like terms: 16a + -16a = 0 16 + -16a + 3a2 = 0 Factor a trinomial. (4 + -3a)(4 + -1a) = 0Subproblem 1
Set the factor '(4 + -3a)' equal to zero and attempt to solve: Simplifying 4 + -3a = 0 Solving 4 + -3a = 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 + -3a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3a = 0 + -4 -3a = 0 + -4 Combine like terms: 0 + -4 = -4 -3a = -4 Divide each side by '-3'. a = 1.333333333 Simplifying a = 1.333333333Subproblem 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 = {1.333333333, 4}
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