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Simplifying 18 + 69a + 56a2 = 0 Solving 18 + 69a + 56a2 = 0 Solving for variable 'a'. Factor a trinomial. (6 + 7a)(3 + 8a) = 0Subproblem 1
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 = -0.8571428571Subproblem 2
Set the factor '(3 + 8a)' equal to zero and attempt to solve: Simplifying 3 + 8a = 0 Solving 3 + 8a = 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 + 8a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8a = 0 + -3 8a = 0 + -3 Combine like terms: 0 + -3 = -3 8a = -3 Divide each side by '8'. a = -0.375 Simplifying a = -0.375Solution
a = {-0.8571428571, -0.375}
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