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Simplifying 4x(3x + 1) + -3(4x2 + -4x + 1) = 0 Reorder the terms: 4x(1 + 3x) + -3(4x2 + -4x + 1) = 0 (1 * 4x + 3x * 4x) + -3(4x2 + -4x + 1) = 0 (4x + 12x2) + -3(4x2 + -4x + 1) = 0 Reorder the terms: 4x + 12x2 + -3(1 + -4x + 4x2) = 0 4x + 12x2 + (1 * -3 + -4x * -3 + 4x2 * -3) = 0 4x + 12x2 + (-3 + 12x + -12x2) = 0 Reorder the terms: -3 + 4x + 12x + 12x2 + -12x2 = 0 Combine like terms: 4x + 12x = 16x -3 + 16x + 12x2 + -12x2 = 0 Combine like terms: 12x2 + -12x2 = 0 -3 + 16x + 0 = 0 -3 + 16x = 0 Solving -3 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 16x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 16x = 0 + 3 16x = 0 + 3 Combine like terms: 0 + 3 = 3 16x = 3 Divide each side by '16'. x = 0.1875 Simplifying x = 0.1875
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