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Simplifying 21a2 + 19a + 4 = 0 Reorder the terms: 4 + 19a + 21a2 = 0 Solving 4 + 19a + 21a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + 7a)(1 + 3a) = 0Subproblem 1
Set the factor '(4 + 7a)' equal to zero and attempt to solve: Simplifying 4 + 7a = 0 Solving 4 + 7a = 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 + 7a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7a = 0 + -4 7a = 0 + -4 Combine like terms: 0 + -4 = -4 7a = -4 Divide each side by '7'. a = -0.5714285714 Simplifying a = -0.5714285714Subproblem 2
Set the factor '(1 + 3a)' equal to zero and attempt to solve: Simplifying 1 + 3a = 0 Solving 1 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3a = 0 + -1 3a = 0 + -1 Combine like terms: 0 + -1 = -1 3a = -1 Divide each side by '3'. a = -0.3333333333 Simplifying a = -0.3333333333Solution
a = {-0.5714285714, -0.3333333333}
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