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Simplifying (3a + 4)(a + -3) = 0 Reorder the terms: (4 + 3a)(a + -3) = 0 Reorder the terms: (4 + 3a)(-3 + a) = 0 Multiply (4 + 3a) * (-3 + a) (4(-3 + a) + 3a * (-3 + a)) = 0 ((-3 * 4 + a * 4) + 3a * (-3 + a)) = 0 ((-12 + 4a) + 3a * (-3 + a)) = 0 (-12 + 4a + (-3 * 3a + a * 3a)) = 0 (-12 + 4a + (-9a + 3a2)) = 0 Combine like terms: 4a + -9a = -5a (-12 + -5a + 3a2) = 0 Solving -12 + -5a + 3a2 = 0 Solving for variable 'a'. Factor a trinomial. (-4 + -3a)(3 + -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 '(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 = {-1.333333333, 3}
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