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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 = -11a (6 + -11a + 3a2) = 0 Solving 6 + -11a + 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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