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