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Simplifying (3a + -6b)(4b + -2a) = 30 Reorder the terms: (3a + -6b)(-2a + 4b) = 30 Multiply (3a + -6b) * (-2a + 4b) (3a * (-2a + 4b) + -6b * (-2a + 4b)) = 30 ((-2a * 3a + 4b * 3a) + -6b * (-2a + 4b)) = 30 Reorder the terms: ((12ab + -6a2) + -6b * (-2a + 4b)) = 30 ((12ab + -6a2) + -6b * (-2a + 4b)) = 30 (12ab + -6a2 + (-2a * -6b + 4b * -6b)) = 30 (12ab + -6a2 + (12ab + -24b2)) = 30 Reorder the terms: (12ab + 12ab + -6a2 + -24b2) = 30 Combine like terms: 12ab + 12ab = 24ab (24ab + -6a2 + -24b2) = 30 Solving 24ab + -6a2 + -24b2 = 30 Solving for variable 'a'. Reorder the terms: -30 + 24ab + -6a2 + -24b2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 24ab + -6a2 + -24b2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-5 + 4ab + -1a2 + -4b2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-5 + 4ab + -1a2 + -4b2)' equal to zero and attempt to solve: Simplifying -5 + 4ab + -1a2 + -4b2 = 0 Solving -5 + 4ab + -1a2 + -4b2 = 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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