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Simplifying 44 + a2 + -15a = 0 Reorder the terms: 44 + -15a + a2 = 0 Solving 44 + -15a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + -1a)(11 + -1a) = 0Subproblem 1
Set the factor '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4Subproblem 2
Set the factor '(11 + -1a)' equal to zero and attempt to solve: Simplifying 11 + -1a = 0 Solving 11 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1a = 0 + -11 -1a = 0 + -11 Combine like terms: 0 + -11 = -11 -1a = -11 Divide each side by '-1'. a = 11 Simplifying a = 11Solution
a = {4, 11}
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