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Simplifying (-7a + -2)(-3a + -4) = 0 Reorder the terms: (-2 + -7a)(-3a + -4) = 0 Reorder the terms: (-2 + -7a)(-4 + -3a) = 0 Multiply (-2 + -7a) * (-4 + -3a) (-2(-4 + -3a) + -7a * (-4 + -3a)) = 0 ((-4 * -2 + -3a * -2) + -7a * (-4 + -3a)) = 0 ((8 + 6a) + -7a * (-4 + -3a)) = 0 (8 + 6a + (-4 * -7a + -3a * -7a)) = 0 (8 + 6a + (28a + 21a2)) = 0 Combine like terms: 6a + 28a = 34a (8 + 34a + 21a2) = 0 Solving 8 + 34a + 21a2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + 3a)(2 + 7a) = 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 '(2 + 7a)' equal to zero and attempt to solve: Simplifying 2 + 7a = 0 Solving 2 + 7a = 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 + 7a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7a = 0 + -2 7a = 0 + -2 Combine like terms: 0 + -2 = -2 7a = -2 Divide each side by '7'. a = -0.2857142857 Simplifying a = -0.2857142857Solution
a = {-1.333333333, -0.2857142857}
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