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Simplifying 10a2 + 53a + 36 = 0 Reorder the terms: 36 + 53a + 10a2 = 0 Solving 36 + 53a + 10a2 = 0 Solving for variable 'a'. Factor a trinomial. (9 + 2a)(4 + 5a) = 0Subproblem 1
Set the factor '(9 + 2a)' equal to zero and attempt to solve: Simplifying 9 + 2a = 0 Solving 9 + 2a = 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 + 2a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2a = 0 + -9 2a = 0 + -9 Combine like terms: 0 + -9 = -9 2a = -9 Divide each side by '2'. a = -4.5 Simplifying a = -4.5Subproblem 2
Set the factor '(4 + 5a)' equal to zero and attempt to solve: Simplifying 4 + 5a = 0 Solving 4 + 5a = 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 + 5a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5a = 0 + -4 5a = 0 + -4 Combine like terms: 0 + -4 = -4 5a = -4 Divide each side by '5'. a = -0.8 Simplifying a = -0.8Solution
a = {-4.5, -0.8}
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