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Simplifying (9a + -2)(a + -5) = 0 Reorder the terms: (-2 + 9a)(a + -5) = 0 Reorder the terms: (-2 + 9a)(-5 + a) = 0 Multiply (-2 + 9a) * (-5 + a) (-2(-5 + a) + 9a * (-5 + a)) = 0 ((-5 * -2 + a * -2) + 9a * (-5 + a)) = 0 ((10 + -2a) + 9a * (-5 + a)) = 0 (10 + -2a + (-5 * 9a + a * 9a)) = 0 (10 + -2a + (-45a + 9a2)) = 0 Combine like terms: -2a + -45a = -47a (10 + -47a + 9a2) = 0 Solving 10 + -47a + 9a2 = 0 Solving for variable 'a'. Factor a trinomial. (2 + -9a)(5 + -1a) = 0Subproblem 1
Set the factor '(2 + -9a)' equal to zero and attempt to solve: Simplifying 2 + -9a = 0 Solving 2 + -9a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9a = 0 + -2 -9a = 0 + -2 Combine like terms: 0 + -2 = -2 -9a = -2 Divide each side by '-9'. a = 0.2222222222 Simplifying a = 0.2222222222Subproblem 2
Set the factor '(5 + -1a)' equal to zero and attempt to solve: Simplifying 5 + -1a = 0 Solving 5 + -1a = 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 + -1a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = 0 + -5 -1a = 0 + -5 Combine like terms: 0 + -5 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5Solution
a = {0.2222222222, 5}
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