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Simplifying 3a2 + -10a + -32 = 0 Reorder the terms: -32 + -10a + 3a2 = 0 Solving -32 + -10a + 3a2 = 0 Solving for variable 'a'. Factor a trinomial. (-2 + -1a)(16 + -3a) = 0Subproblem 1
Set the factor '(-2 + -1a)' equal to zero and attempt to solve: Simplifying -2 + -1a = 0 Solving -2 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = 0 + 2 -1a = 0 + 2 Combine like terms: 0 + 2 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2Subproblem 2
Set the factor '(16 + -3a)' equal to zero and attempt to solve: Simplifying 16 + -3a = 0 Solving 16 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3a = 0 + -16 -3a = 0 + -16 Combine like terms: 0 + -16 = -16 -3a = -16 Divide each side by '-3'. a = 5.333333333 Simplifying a = 5.333333333Solution
a = {-2, 5.333333333}
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