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Simplifying (3x + 1)(9x2 + -3x + 1) = 0 Reorder the terms: (1 + 3x)(9x2 + -3x + 1) = 0 Reorder the terms: (1 + 3x)(1 + -3x + 9x2) = 0 Multiply (1 + 3x) * (1 + -3x + 9x2) (1(1 + -3x + 9x2) + 3x * (1 + -3x + 9x2)) = 0 ((1 * 1 + -3x * 1 + 9x2 * 1) + 3x * (1 + -3x + 9x2)) = 0 ((1 + -3x + 9x2) + 3x * (1 + -3x + 9x2)) = 0 (1 + -3x + 9x2 + (1 * 3x + -3x * 3x + 9x2 * 3x)) = 0 (1 + -3x + 9x2 + (3x + -9x2 + 27x3)) = 0 Reorder the terms: (1 + -3x + 3x + 9x2 + -9x2 + 27x3) = 0 Combine like terms: -3x + 3x = 0 (1 + 0 + 9x2 + -9x2 + 27x3) = 0 (1 + 9x2 + -9x2 + 27x3) = 0 Combine like terms: 9x2 + -9x2 = 0 (1 + 0 + 27x3) = 0 (1 + 27x3) = 0 Solving 1 + 27x3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 27x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 27x3 = 0 + -1 27x3 = 0 + -1 Combine like terms: 0 + -1 = -1 27x3 = -1 Divide each side by '27'. x3 = -0.03703703704 Simplifying x3 = -0.03703703704 Reorder the terms: 0.03703703704 + x3 = -0.03703703704 + 0.03703703704 Combine like terms: -0.03703703704 + 0.03703703704 = 0.00000000000 0.03703703704 + x3 = 0.00000000000 The solution to this equation could not be determined.
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