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Simplifying 2b(4a + 3b) * 2a = 0 Reorder the terms for easier multiplication: 2 * 2b * a(4a + 3b) = 0 Multiply 2 * 2 4b * a(4a + 3b) = 0 Multiply b * a 4ab(4a + 3b) = 0 (4a * 4ab + 3b * 4ab) = 0 Reorder the terms: (12ab2 + 16a2b) = 0 (12ab2 + 16a2b) = 0 Solving 12ab2 + 16a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4ab'. 4ab(3b + 4a) = 0 Ignore the factor 4.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 '(3b + 4a)' equal to zero and attempt to solve: Simplifying 3b + 4a = 0 Reorder the terms: 4a + 3b = 0 Solving 4a + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 4a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 4a + 0 = 0 + -3b 4a = 0 + -3b Remove the zero: 4a = -3b Divide each side by '4'. a = -0.75b Simplifying a = -0.75bSolution
a = {-0.75b}
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