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Simplifying 3a2 + 7a + -32 = -6 Reorder the terms: -32 + 7a + 3a2 = -6 Solving -32 + 7a + 3a2 = -6 Solving for variable 'a'. Reorder the terms: -32 + 6 + 7a + 3a2 = -6 + 6 Combine like terms: -32 + 6 = -26 -26 + 7a + 3a2 = -6 + 6 Combine like terms: -6 + 6 = 0 -26 + 7a + 3a2 = 0 Factor a trinomial. (-13 + -3a)(2 + -1a) = 0Subproblem 1
Set the factor '(-13 + -3a)' equal to zero and attempt to solve: Simplifying -13 + -3a = 0 Solving -13 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -3a = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3a = 0 + 13 -3a = 0 + 13 Combine like terms: 0 + 13 = 13 -3a = 13 Divide each side by '-3'. a = -4.333333333 Simplifying a = -4.333333333Subproblem 2
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 = 2Solution
a = {-4.333333333, 2}
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