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Simplifying (4a + -6)(8a2 + 2a + -3) = 0 Reorder the terms: (-6 + 4a)(8a2 + 2a + -3) = 0 Reorder the terms: (-6 + 4a)(-3 + 2a + 8a2) = 0 Multiply (-6 + 4a) * (-3 + 2a + 8a2) (-6(-3 + 2a + 8a2) + 4a * (-3 + 2a + 8a2)) = 0 ((-3 * -6 + 2a * -6 + 8a2 * -6) + 4a * (-3 + 2a + 8a2)) = 0 ((18 + -12a + -48a2) + 4a * (-3 + 2a + 8a2)) = 0 (18 + -12a + -48a2 + (-3 * 4a + 2a * 4a + 8a2 * 4a)) = 0 (18 + -12a + -48a2 + (-12a + 8a2 + 32a3)) = 0 Reorder the terms: (18 + -12a + -12a + -48a2 + 8a2 + 32a3) = 0 Combine like terms: -12a + -12a = -24a (18 + -24a + -48a2 + 8a2 + 32a3) = 0 Combine like terms: -48a2 + 8a2 = -40a2 (18 + -24a + -40a2 + 32a3) = 0 Solving 18 + -24a + -40a2 + 32a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -12a + -20a2 + 16a3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -12a + -20a2 + 16a3)' equal to zero and attempt to solve: Simplifying 9 + -12a + -20a2 + 16a3 = 0 Solving 9 + -12a + -20a2 + 16a3 = 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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