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Simplifying (3a + 2)(a + -3) = 0 Reorder the terms: (2 + 3a)(a + -3) = 0 Reorder the terms: (2 + 3a)(-3 + a) = 0 Multiply (2 + 3a) * (-3 + a) (2(-3 + a) + 3a * (-3 + a)) = 0 ((-3 * 2 + a * 2) + 3a * (-3 + a)) = 0 ((-6 + 2a) + 3a * (-3 + a)) = 0 (-6 + 2a + (-3 * 3a + a * 3a)) = 0 (-6 + 2a + (-9a + 3a2)) = 0 Combine like terms: 2a + -9a = -7a (-6 + -7a + 3a2) = 0 Solving -6 + -7a + 3a2 = 0 Solving for variable 'a'. Factor a trinomial. (-2 + -3a)(3 + -1a) = 0Subproblem 1
Set the factor '(-2 + -3a)' equal to zero and attempt to solve: Simplifying -2 + -3a = 0 Solving -2 + -3a = 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 + -3a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3a = 0 + 2 -3a = 0 + 2 Combine like terms: 0 + 2 = 2 -3a = 2 Divide each side by '-3'. a = -0.6666666667 Simplifying a = -0.6666666667Subproblem 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 = {-0.6666666667, 3}
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