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Simplifying 4a2 + -108 = -11a Reorder the terms: -108 + 4a2 = -11a Solving -108 + 4a2 = -11a Solving for variable 'a'. Reorder the terms: -108 + 11a + 4a2 = -11a + 11a Combine like terms: -11a + 11a = 0 -108 + 11a + 4a2 = 0 Factor a trinomial. (-27 + -4a)(4 + -1a) = 0Subproblem 1
Set the factor '(-27 + -4a)' equal to zero and attempt to solve: Simplifying -27 + -4a = 0 Solving -27 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -4a = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -4a = 0 + 27 -4a = 0 + 27 Combine like terms: 0 + 27 = 27 -4a = 27 Divide each side by '-4'. a = -6.75 Simplifying a = -6.75Subproblem 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 = {-6.75, 4}
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