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Simplifying (4 + -1a)(6 + -1a) = 0 Multiply (4 + -1a) * (6 + -1a) (4(6 + -1a) + -1a * (6 + -1a)) = 0 ((6 * 4 + -1a * 4) + -1a * (6 + -1a)) = 0 ((24 + -4a) + -1a * (6 + -1a)) = 0 (24 + -4a + (6 * -1a + -1a * -1a)) = 0 (24 + -4a + (-6a + 1a2)) = 0 Combine like terms: -4a + -6a = -10a (24 + -10a + 1a2) = 0 Solving 24 + -10a + 1a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + -1a)(6 + -1a) = 0Subproblem 1
Set the factor '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 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 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4Subproblem 2
Set the factor '(6 + -1a)' equal to zero and attempt to solve: Simplifying 6 + -1a = 0 Solving 6 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1a = 0 + -6 -1a = 0 + -6 Combine like terms: 0 + -6 = -6 -1a = -6 Divide each side by '-1'. a = 6 Simplifying a = 6Solution
a = {4, 6}
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