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Simplifying (6a + -4)(7a2 + 7a + 5) = 0 Reorder the terms: (-4 + 6a)(7a2 + 7a + 5) = 0 Reorder the terms: (-4 + 6a)(5 + 7a + 7a2) = 0 Multiply (-4 + 6a) * (5 + 7a + 7a2) (-4(5 + 7a + 7a2) + 6a * (5 + 7a + 7a2)) = 0 ((5 * -4 + 7a * -4 + 7a2 * -4) + 6a * (5 + 7a + 7a2)) = 0 ((-20 + -28a + -28a2) + 6a * (5 + 7a + 7a2)) = 0 (-20 + -28a + -28a2 + (5 * 6a + 7a * 6a + 7a2 * 6a)) = 0 (-20 + -28a + -28a2 + (30a + 42a2 + 42a3)) = 0 Reorder the terms: (-20 + -28a + 30a + -28a2 + 42a2 + 42a3) = 0 Combine like terms: -28a + 30a = 2a (-20 + 2a + -28a2 + 42a2 + 42a3) = 0 Combine like terms: -28a2 + 42a2 = 14a2 (-20 + 2a + 14a2 + 42a3) = 0 Solving -20 + 2a + 14a2 + 42a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + a + 7a2 + 21a3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + a + 7a2 + 21a3)' equal to zero and attempt to solve: Simplifying -10 + a + 7a2 + 21a3 = 0 Solving -10 + a + 7a2 + 21a3 = 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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