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Simplifying (5a + -3)(a + -3) = 0 Reorder the terms: (-3 + 5a)(a + -3) = 0 Reorder the terms: (-3 + 5a)(-3 + a) = 0 Multiply (-3 + 5a) * (-3 + a) (-3(-3 + a) + 5a * (-3 + a)) = 0 ((-3 * -3 + a * -3) + 5a * (-3 + a)) = 0 ((9 + -3a) + 5a * (-3 + a)) = 0 (9 + -3a + (-3 * 5a + a * 5a)) = 0 (9 + -3a + (-15a + 5a2)) = 0 Combine like terms: -3a + -15a = -18a (9 + -18a + 5a2) = 0 Solving 9 + -18a + 5a2 = 0 Solving for variable 'a'. Factor a trinomial. (3 + -5a)(3 + -1a) = 0Subproblem 1
Set the factor '(3 + -5a)' equal to zero and attempt to solve: Simplifying 3 + -5a = 0 Solving 3 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = 0 + -3 -5a = 0 + -3 Combine like terms: 0 + -3 = -3 -5a = -3 Divide each side by '-5'. a = 0.6 Simplifying a = 0.6Subproblem 2
Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3Solution
a = {0.6, 3}
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