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Simplifying (4x + 3)(16x2 + -12x + 9) = 0 Reorder the terms: (3 + 4x)(16x2 + -12x + 9) = 0 Reorder the terms: (3 + 4x)(9 + -12x + 16x2) = 0 Multiply (3 + 4x) * (9 + -12x + 16x2) (3(9 + -12x + 16x2) + 4x * (9 + -12x + 16x2)) = 0 ((9 * 3 + -12x * 3 + 16x2 * 3) + 4x * (9 + -12x + 16x2)) = 0 ((27 + -36x + 48x2) + 4x * (9 + -12x + 16x2)) = 0 (27 + -36x + 48x2 + (9 * 4x + -12x * 4x + 16x2 * 4x)) = 0 (27 + -36x + 48x2 + (36x + -48x2 + 64x3)) = 0 Reorder the terms: (27 + -36x + 36x + 48x2 + -48x2 + 64x3) = 0 Combine like terms: -36x + 36x = 0 (27 + 0 + 48x2 + -48x2 + 64x3) = 0 (27 + 48x2 + -48x2 + 64x3) = 0 Combine like terms: 48x2 + -48x2 = 0 (27 + 0 + 64x3) = 0 (27 + 64x3) = 0 Solving 27 + 64x3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 64x3 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 64x3 = 0 + -27 64x3 = 0 + -27 Combine like terms: 0 + -27 = -27 64x3 = -27 Divide each side by '64'. x3 = -0.421875 Simplifying x3 = -0.421875 Reorder the terms: 0.421875 + x3 = -0.421875 + 0.421875 Combine like terms: -0.421875 + 0.421875 = 0.000000 0.421875 + x3 = 0.000000 The solution to this equation could not be determined.
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