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Simplifying 4a2 + 19a + 21 = 0 Reorder the terms: 21 + 19a + 4a2 = 0 Solving 21 + 19a + 4a2 = 0 Solving for variable 'a'. Factor a trinomial. (3 + a)(7 + 4a) = 0Subproblem 1
Set the factor '(3 + a)' equal to zero and attempt to solve: Simplifying 3 + a = 0 Solving 3 + a = 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 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3Subproblem 2
Set the factor '(7 + 4a)' equal to zero and attempt to solve: Simplifying 7 + 4a = 0 Solving 7 + 4a = 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 + 4a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4a = 0 + -7 4a = 0 + -7 Combine like terms: 0 + -7 = -7 4a = -7 Divide each side by '4'. a = -1.75 Simplifying a = -1.75Solution
a = {-3, -1.75}
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