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Simplifying 3a2 = a + 44 Reorder the terms: 3a2 = 44 + a Solving 3a2 = 44 + a Solving for variable 'a'. Reorder the terms: -44 + -1a + 3a2 = 44 + a + -44 + -1a Reorder the terms: -44 + -1a + 3a2 = 44 + -44 + a + -1a Combine like terms: 44 + -44 = 0 -44 + -1a + 3a2 = 0 + a + -1a -44 + -1a + 3a2 = a + -1a Combine like terms: a + -1a = 0 -44 + -1a + 3a2 = 0 Factor a trinomial. (-11 + -3a)(4 + -1a) = 0Subproblem 1
Set the factor '(-11 + -3a)' equal to zero and attempt to solve: Simplifying -11 + -3a = 0 Solving -11 + -3a = 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 + -3a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3a = 0 + 11 -3a = 0 + 11 Combine like terms: 0 + 11 = 11 -3a = 11 Divide each side by '-3'. a = -3.666666667 Simplifying a = -3.666666667Subproblem 2
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 = 4Solution
a = {-3.666666667, 4}
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