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Simplifying 2a(1a + 2b) * 4b = 0 Reorder the terms for easier multiplication: 2 * 4a * b(1a + 2b) = 0 Multiply 2 * 4 8a * b(1a + 2b) = 0 Multiply a * b 8ab(1a + 2b) = 0 (1a * 8ab + 2b * 8ab) = 0 Reorder the terms: (16ab2 + 8a2b) = 0 (16ab2 + 8a2b) = 0 Solving 16ab2 + 8a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '8ab'. 8ab(2b + a) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2b + a)' equal to zero and attempt to solve: Simplifying 2b + a = 0 Reorder the terms: a + 2b = 0 Solving a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 a + 0 = 0 + -2b a = 0 + -2b Remove the zero: a = -2b Simplifying a = -2bSolution
a = {-2b}
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