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Simplifying (4a + -4)(a + 1)(a + 3) = 0 Reorder the terms: (-4 + 4a)(a + 1)(a + 3) = 0 Reorder the terms: (-4 + 4a)(1 + a)(a + 3) = 0 Reorder the terms: (-4 + 4a)(1 + a)(3 + a) = 0 Multiply (-4 + 4a) * (1 + a) (-4(1 + a) + 4a * (1 + a))(3 + a) = 0 ((1 * -4 + a * -4) + 4a * (1 + a))(3 + a) = 0 ((-4 + -4a) + 4a * (1 + a))(3 + a) = 0 (-4 + -4a + (1 * 4a + a * 4a))(3 + a) = 0 (-4 + -4a + (4a + 4a2))(3 + a) = 0 Combine like terms: -4a + 4a = 0 (-4 + 0 + 4a2)(3 + a) = 0 (-4 + 4a2)(3 + a) = 0 Multiply (-4 + 4a2) * (3 + a) (-4(3 + a) + 4a2 * (3 + a)) = 0 ((3 * -4 + a * -4) + 4a2 * (3 + a)) = 0 ((-12 + -4a) + 4a2 * (3 + a)) = 0 (-12 + -4a + (3 * 4a2 + a * 4a2)) = 0 (-12 + -4a + (12a2 + 4a3)) = 0 (-12 + -4a + 12a2 + 4a3) = 0 Solving -12 + -4a + 12a2 + 4a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + -1a + 3a2 + a3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -1a + 3a2 + a3)' equal to zero and attempt to solve: Simplifying -3 + -1a + 3a2 + a3 = 0 Solving -3 + -1a + 3a2 + a3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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