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Simplifying 11a2 + 30a = 9 Reorder the terms: 30a + 11a2 = 9 Solving 30a + 11a2 = 9 Solving for variable 'a'. Reorder the terms: -9 + 30a + 11a2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 30a + 11a2 = 0 Factor a trinomial. (-3 + -1a)(3 + -11a) = 0Subproblem 1
Set the factor '(-3 + -1a)' equal to zero and attempt to solve: Simplifying -3 + -1a = 0 Solving -3 + -1a = 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 + -1a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1a = 0 + 3 -1a = 0 + 3 Combine like terms: 0 + 3 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3Subproblem 2
Set the factor '(3 + -11a)' equal to zero and attempt to solve: Simplifying 3 + -11a = 0 Solving 3 + -11a = 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 + -11a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -11a = 0 + -3 -11a = 0 + -3 Combine like terms: 0 + -3 = -3 -11a = -3 Divide each side by '-11'. a = 0.2727272727 Simplifying a = 0.2727272727Solution
a = {-3, 0.2727272727}
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