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Simplifying 3a2 + -64 = 16a Reorder the terms: -64 + 3a2 = 16a Solving -64 + 3a2 = 16a Solving for variable 'a'. Reorder the terms: -64 + -16a + 3a2 = 16a + -16a Combine like terms: 16a + -16a = 0 -64 + -16a + 3a2 = 0 Factor a trinomial. (-8 + -3a)(8 + -1a) = 0Subproblem 1
Set the factor '(-8 + -3a)' equal to zero and attempt to solve: Simplifying -8 + -3a = 0 Solving -8 + -3a = 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 + -3a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3a = 0 + 8 -3a = 0 + 8 Combine like terms: 0 + 8 = 8 -3a = 8 Divide each side by '-3'. a = -2.666666667 Simplifying a = -2.666666667Subproblem 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 = {-2.666666667, 8}
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