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Simplifying 9a2 + 84a + 196 = 0 Reorder the terms: 196 + 84a + 9a2 = 0 Solving 196 + 84a + 9a2 = 0 Solving for variable 'a'. Factor a trinomial. (14 + 3a)(14 + 3a) = 0Subproblem 1
Set the factor '(14 + 3a)' equal to zero and attempt to solve: Simplifying 14 + 3a = 0 Solving 14 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3a = 0 + -14 3a = 0 + -14 Combine like terms: 0 + -14 = -14 3a = -14 Divide each side by '3'. a = -4.666666667 Simplifying a = -4.666666667Subproblem 2
Set the factor '(14 + 3a)' equal to zero and attempt to solve: Simplifying 14 + 3a = 0 Solving 14 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3a = 0 + -14 3a = 0 + -14 Combine like terms: 0 + -14 = -14 3a = -14 Divide each side by '3'. a = -4.666666667 Simplifying a = -4.666666667Solution
a = {-4.666666667, -4.666666667}
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