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Simplifying (3x + -4)(9(x2) + 12x + 16) = 0 Reorder the terms: (-4 + 3x)(9(x2) + 12x + 16) = 0 Reorder the terms: (-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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