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Simplifying (4 + -3x)(16 + 12x + 9x2) = 0 Multiply (4 + -3x) * (16 + 12x + 9x2) (4(16 + 12x + 9x2) + -3x * (16 + 12x + 9x2)) = 0 ((16 * 4 + 12x * 4 + 9x2 * 4) + -3x * (16 + 12x + 9x2)) = 0 ((64 + 48x + 36x2) + -3x * (16 + 12x + 9x2)) = 0 (64 + 48x + 36x2 + (16 * -3x + 12x * -3x + 9x2 * -3x)) = 0 (64 + 48x + 36x2 + (-48x + -36x2 + -27x3)) = 0 Reorder the terms: (64 + 48x + -48x + 36x2 + -36x2 + -27x3) = 0 Combine like terms: 48x + -48x = 0 (64 + 0 + 36x2 + -36x2 + -27x3) = 0 (64 + 36x2 + -36x2 + -27x3) = 0 Combine like terms: 36x2 + -36x2 = 0 (64 + 0 + -27x3) = 0 (64 + -27x3) = 0 Solving 64 + -27x3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -27x3 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -27x3 = 0 + -64 -27x3 = 0 + -64 Combine like terms: 0 + -64 = -64 -27x3 = -64 Divide each side by '-27'. x3 = 2.37037037 Simplifying x3 = 2.37037037 Reorder the terms: -2.37037037 + x3 = 2.37037037 + -2.37037037 Combine like terms: 2.37037037 + -2.37037037 = 0.00000000 -2.37037037 + x3 = 0.00000000 The solution to this equation could not be determined.
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