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Simplifying (-6a + -4b2)(9a2 + -24ab + 16b2) = 0 Reorder the terms: (-6a + -4b2)(-24ab + 9a2 + 16b2) = 0 Multiply (-6a + -4b2) * (-24ab + 9a2 + 16b2) (-6a * (-24ab + 9a2 + 16b2) + -4b2 * (-24ab + 9a2 + 16b2)) = 0 ((-24ab * -6a + 9a2 * -6a + 16b2 * -6a) + -4b2 * (-24ab + 9a2 + 16b2)) = 0 Reorder the terms: ((-96ab2 + 144a2b + -54a3) + -4b2 * (-24ab + 9a2 + 16b2)) = 0 ((-96ab2 + 144a2b + -54a3) + -4b2 * (-24ab + 9a2 + 16b2)) = 0 (-96ab2 + 144a2b + -54a3 + (-24ab * -4b2 + 9a2 * -4b2 + 16b2 * -4b2)) = 0 (-96ab2 + 144a2b + -54a3 + (96ab3 + -36a2b2 + -64b4)) = 0 Reorder the terms: (-96ab2 + 96ab3 + 144a2b + -36a2b2 + -54a3 + -64b4) = 0 (-96ab2 + 96ab3 + 144a2b + -36a2b2 + -54a3 + -64b4) = 0 Solving -96ab2 + 96ab3 + 144a2b + -36a2b2 + -54a3 + -64b4 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(-48ab2 + 48ab3 + 72a2b + -18a2b2 + -27a3 + -32b4) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-48ab2 + 48ab3 + 72a2b + -18a2b2 + -27a3 + -32b4)' equal to zero and attempt to solve: Simplifying -48ab2 + 48ab3 + 72a2b + -18a2b2 + -27a3 + -32b4 = 0 Solving -48ab2 + 48ab3 + 72a2b + -18a2b2 + -27a3 + -32b4 = 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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