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Simplifying 30a2 + 89a + 63 = 0 Reorder the terms: 63 + 89a + 30a2 = 0 Solving 63 + 89a + 30a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + 5a)(7 + 6a) = 0Subproblem 1
Set the factor '(9 + 5a)' equal to zero and attempt to solve: Simplifying 9 + 5a = 0 Solving 9 + 5a = 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 + 5a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5a = 0 + -9 5a = 0 + -9 Combine like terms: 0 + -9 = -9 5a = -9 Divide each side by '5'. a = -1.8 Simplifying a = -1.8Subproblem 2
Set the factor '(7 + 6a)' equal to zero and attempt to solve: Simplifying 7 + 6a = 0 Solving 7 + 6a = 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 + 6a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6a = 0 + -7 6a = 0 + -7 Combine like terms: 0 + -7 = -7 6a = -7 Divide each side by '6'. a = -1.166666667 Simplifying a = -1.166666667Solution
a = {-1.8, -1.166666667}
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