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Simplifying 21a2 + 53a + 30 = 0 Reorder the terms: 30 + 53a + 21a2 = 0 Solving 30 + 53a + 21a2 = 0 Solving for variable 'a'. Factor a trinomial. (5 + 3a)(6 + 7a) = 0Subproblem 1
Set the factor '(5 + 3a)' equal to zero and attempt to solve: Simplifying 5 + 3a = 0 Solving 5 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 0 + -5 3a = 0 + -5 Combine like terms: 0 + -5 = -5 3a = -5 Divide each side by '3'. a = -1.666666667 Simplifying a = -1.666666667Subproblem 2
Set the factor '(6 + 7a)' equal to zero and attempt to solve: Simplifying 6 + 7a = 0 Solving 6 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7a = 0 + -6 7a = 0 + -6 Combine like terms: 0 + -6 = -6 7a = -6 Divide each side by '7'. a = -0.8571428571 Simplifying a = -0.8571428571Solution
a = {-1.666666667, -0.8571428571}
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