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Simplifying 0 = 6a2 + 19a + -36 Reorder the terms: 0 = -36 + 19a + 6a2 Solving 0 = -36 + 19a + 6a2 Solving for variable 'a'. Combine like terms: 0 + 36 = 36 36 + -19a + -6a2 = -36 + 19a + 6a2 + 36 + -19a + -6a2 Reorder the terms: 36 + -19a + -6a2 = -36 + 36 + 19a + -19a + 6a2 + -6a2 Combine like terms: -36 + 36 = 0 36 + -19a + -6a2 = 0 + 19a + -19a + 6a2 + -6a2 36 + -19a + -6a2 = 19a + -19a + 6a2 + -6a2 Combine like terms: 19a + -19a = 0 36 + -19a + -6a2 = 0 + 6a2 + -6a2 36 + -19a + -6a2 = 6a2 + -6a2 Combine like terms: 6a2 + -6a2 = 0 36 + -19a + -6a2 = 0 Factor a trinomial. (4 + -3a)(9 + 2a) = 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 '(9 + 2a)' equal to zero and attempt to solve: Simplifying 9 + 2a = 0 Solving 9 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2a = 0 + -9 2a = 0 + -9 Combine like terms: 0 + -9 = -9 2a = -9 Divide each side by '2'. a = -4.5 Simplifying a = -4.5Solution
a = {1.333333333, -4.5}
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