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Simplifying 4x(3xa + 1) = 0 Reorder the terms: 4x(1 + 3ax) = 0 (1 * 4x + 3ax * 4x) = 0 Reorder the terms: (12ax2 + 4x) = 0 (12ax2 + 4x) = 0 Solving 12ax2 + 4x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4x' to each side of the equation. 12ax2 + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 12ax2 + 0 = 0 + -4x 12ax2 = 0 + -4x Remove the zero: 12ax2 = -4x Divide each side by '12x2'. a = -0.3333333333x-1 Simplifying a = -0.3333333333x-1
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