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Simplifying 5a2 = -20 + -29a Solving 5a2 = -20 + -29a Solving for variable 'a'. Reorder the terms: 20 + 29a + 5a2 = -20 + -29a + 20 + 29a Reorder the terms: 20 + 29a + 5a2 = -20 + 20 + -29a + 29a Combine like terms: -20 + 20 = 0 20 + 29a + 5a2 = 0 + -29a + 29a 20 + 29a + 5a2 = -29a + 29a Combine like terms: -29a + 29a = 0 20 + 29a + 5a2 = 0 Factor a trinomial. (5 + a)(4 + 5a) = 0Subproblem 1
Set the factor '(5 + a)' equal to zero and attempt to solve: Simplifying 5 + a = 0 Solving 5 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a = 0 + -5 a = 0 + -5 Combine like terms: 0 + -5 = -5 a = -5 Simplifying a = -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 = {-5, -0.8}
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