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Simplifying (2a + -3)(6a2 + 2a + -4) = 0 Reorder the terms: (-3 + 2a)(6a2 + 2a + -4) = 0 Reorder the terms: (-3 + 2a)(-4 + 2a + 6a2) = 0 Multiply (-3 + 2a) * (-4 + 2a + 6a2) (-3(-4 + 2a + 6a2) + 2a * (-4 + 2a + 6a2)) = 0 ((-4 * -3 + 2a * -3 + 6a2 * -3) + 2a * (-4 + 2a + 6a2)) = 0 ((12 + -6a + -18a2) + 2a * (-4 + 2a + 6a2)) = 0 (12 + -6a + -18a2 + (-4 * 2a + 2a * 2a + 6a2 * 2a)) = 0 (12 + -6a + -18a2 + (-8a + 4a2 + 12a3)) = 0 Reorder the terms: (12 + -6a + -8a + -18a2 + 4a2 + 12a3) = 0 Combine like terms: -6a + -8a = -14a (12 + -14a + -18a2 + 4a2 + 12a3) = 0 Combine like terms: -18a2 + 4a2 = -14a2 (12 + -14a + -14a2 + 12a3) = 0 Solving 12 + -14a + -14a2 + 12a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -7a + -7a2 + 6a3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -7a + -7a2 + 6a3)' equal to zero and attempt to solve: Simplifying 6 + -7a + -7a2 + 6a3 = 0 Solving 6 + -7a + -7a2 + 6a3 = 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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