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Simplifying (8a + -6)(2a2 + 5a + 2) = 0 Reorder the terms: (-6 + 8a)(2a2 + 5a + 2) = 0 Reorder the terms: (-6 + 8a)(2 + 5a + 2a2) = 0 Multiply (-6 + 8a) * (2 + 5a + 2a2) (-6(2 + 5a + 2a2) + 8a * (2 + 5a + 2a2)) = 0 ((2 * -6 + 5a * -6 + 2a2 * -6) + 8a * (2 + 5a + 2a2)) = 0 ((-12 + -30a + -12a2) + 8a * (2 + 5a + 2a2)) = 0 (-12 + -30a + -12a2 + (2 * 8a + 5a * 8a + 2a2 * 8a)) = 0 (-12 + -30a + -12a2 + (16a + 40a2 + 16a3)) = 0 Reorder the terms: (-12 + -30a + 16a + -12a2 + 40a2 + 16a3) = 0 Combine like terms: -30a + 16a = -14a (-12 + -14a + -12a2 + 40a2 + 16a3) = 0 Combine like terms: -12a2 + 40a2 = 28a2 (-12 + -14a + 28a2 + 16a3) = 0 Solving -12 + -14a + 28a2 + 16a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -7a + 14a2 + 8a3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -7a + 14a2 + 8a3)' equal to zero and attempt to solve: Simplifying -6 + -7a + 14a2 + 8a3 = 0 Solving -6 + -7a + 14a2 + 8a3 = 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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