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Simplifying (7 + -1a)(4 + -3a) = 0 Multiply (7 + -1a) * (4 + -3a) (7(4 + -3a) + -1a * (4 + -3a)) = 0 ((4 * 7 + -3a * 7) + -1a * (4 + -3a)) = 0 ((28 + -21a) + -1a * (4 + -3a)) = 0 (28 + -21a + (4 * -1a + -3a * -1a)) = 0 (28 + -21a + (-4a + 3a2)) = 0 Combine like terms: -21a + -4a = -25a (28 + -25a + 3a2) = 0 Solving 28 + -25a + 3a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + -3a)(7 + -1a) = 0Subproblem 1
Set the factor '(4 + -3a)' equal to zero and attempt to solve: Simplifying 4 + -3a = 0 Solving 4 + -3a = 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 + -3a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3a = 0 + -4 -3a = 0 + -4 Combine like terms: 0 + -4 = -4 -3a = -4 Divide each side by '-3'. a = 1.333333333 Simplifying a = 1.333333333Subproblem 2
Set the factor '(7 + -1a)' equal to zero and attempt to solve: Simplifying 7 + -1a = 0 Solving 7 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 0 + -7 -1a = 0 + -7 Combine like terms: 0 + -7 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7Solution
a = {1.333333333, 7}
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