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Simplifying (a + -3)(a + -3) = 0 Reorder the terms: (-3 + a)(a + -3) = 0 Reorder the terms: (-3 + a)(-3 + a) = 0 Multiply (-3 + a) * (-3 + a) (-3(-3 + a) + a(-3 + a)) = 0 ((-3 * -3 + a * -3) + a(-3 + a)) = 0 ((9 + -3a) + a(-3 + a)) = 0 (9 + -3a + (-3 * a + a * a)) = 0 (9 + -3a + (-3a + a2)) = 0 Combine like terms: -3a + -3a = -6a (9 + -6a + a2) = 0 Solving 9 + -6a + a2 = 0 Solving for variable 'a'. Factor a trinomial. (3 + -1a)(3 + -1a) = 0Subproblem 1
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 = 3Subproblem 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 = {3, 3}
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