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Simplifying (6a + 3)(8a2 + 4a + -7) = 0 Reorder the terms: (3 + 6a)(8a2 + 4a + -7) = 0 Reorder the terms: (3 + 6a)(-7 + 4a + 8a2) = 0 Multiply (3 + 6a) * (-7 + 4a + 8a2) (3(-7 + 4a + 8a2) + 6a * (-7 + 4a + 8a2)) = 0 ((-7 * 3 + 4a * 3 + 8a2 * 3) + 6a * (-7 + 4a + 8a2)) = 0 ((-21 + 12a + 24a2) + 6a * (-7 + 4a + 8a2)) = 0 (-21 + 12a + 24a2 + (-7 * 6a + 4a * 6a + 8a2 * 6a)) = 0 (-21 + 12a + 24a2 + (-42a + 24a2 + 48a3)) = 0 Reorder the terms: (-21 + 12a + -42a + 24a2 + 24a2 + 48a3) = 0 Combine like terms: 12a + -42a = -30a (-21 + -30a + 24a2 + 24a2 + 48a3) = 0 Combine like terms: 24a2 + 24a2 = 48a2 (-21 + -30a + 48a2 + 48a3) = 0 Solving -21 + -30a + 48a2 + 48a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + -10a + 16a2 + 16a3) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -10a + 16a2 + 16a3)' equal to zero and attempt to solve: Simplifying -7 + -10a + 16a2 + 16a3 = 0 Solving -7 + -10a + 16a2 + 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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