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Simplifying 6a2 + 23a + 21 = 0 Reorder the terms: 21 + 23a + 6a2 = 0 Solving 21 + 23a + 6a2 = 0 Solving for variable 'a'. Factor a trinomial. (7 + 3a)(3 + 2a) = 0Subproblem 1
Set the factor '(7 + 3a)' equal to zero and attempt to solve: Simplifying 7 + 3a = 0 Solving 7 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3a = 0 + -7 3a = 0 + -7 Combine like terms: 0 + -7 = -7 3a = -7 Divide each side by '3'. a = -2.333333333 Simplifying a = -2.333333333Subproblem 2
Set the factor '(3 + 2a)' equal to zero and attempt to solve: Simplifying 3 + 2a = 0 Solving 3 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 0 + -3 2a = 0 + -3 Combine like terms: 0 + -3 = -3 2a = -3 Divide each side by '2'. a = -1.5 Simplifying a = -1.5Solution
a = {-2.333333333, -1.5}
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