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Simplifying 5a2 + 11a + -36 = 0 Reorder the terms: -36 + 11a + 5a2 = 0 Solving -36 + 11a + 5a2 = 0 Solving for variable 'a'. Factor a trinomial. (-4 + -1a)(9 + -5a) = 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 '(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 = 1.8Solution
a = {-4, 1.8}
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