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Simplifying (3a + 2)(3a + -4) = 0 Reorder the terms: (2 + 3a)(3a + -4) = 0 Reorder the terms: (2 + 3a)(-4 + 3a) = 0 Multiply (2 + 3a) * (-4 + 3a) (2(-4 + 3a) + 3a * (-4 + 3a)) = 0 ((-4 * 2 + 3a * 2) + 3a * (-4 + 3a)) = 0 ((-8 + 6a) + 3a * (-4 + 3a)) = 0 (-8 + 6a + (-4 * 3a + 3a * 3a)) = 0 (-8 + 6a + (-12a + 9a2)) = 0 Combine like terms: 6a + -12a = -6a (-8 + -6a + 9a2) = 0 Solving -8 + -6a + 9a2 = 0 Solving for variable 'a'. Factor a trinomial. (-2 + -3a)(4 + -3a) = 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 '(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 = 1.333333333Solution
a = {-0.6666666667, 1.333333333}
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