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Simplifying 7a2 + 66a + 27 = 0 Reorder the terms: 27 + 66a + 7a2 = 0 Solving 27 + 66a + 7a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + a)(3 + 7a) = 0Subproblem 1
Set the factor '(9 + a)' equal to zero and attempt to solve: Simplifying 9 + a = 0 Solving 9 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a = 0 + -9 a = 0 + -9 Combine like terms: 0 + -9 = -9 a = -9 Simplifying a = -9Subproblem 2
Set the factor '(3 + 7a)' equal to zero and attempt to solve: Simplifying 3 + 7a = 0 Solving 3 + 7a = 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 + 7a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7a = 0 + -3 7a = 0 + -3 Combine like terms: 0 + -3 = -3 7a = -3 Divide each side by '7'. a = -0.4285714286 Simplifying a = -0.4285714286Solution
a = {-9, -0.4285714286}
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