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Simplifying (3x + -2)(9x2 + 6x + 4) = 0 Reorder the terms: (-2 + 3x)(9x2 + 6x + 4) = 0 Reorder the terms: (-2 + 3x)(4 + 6x + 9x2) = 0 Multiply (-2 + 3x) * (4 + 6x + 9x2) (-2(4 + 6x + 9x2) + 3x * (4 + 6x + 9x2)) = 0 ((4 * -2 + 6x * -2 + 9x2 * -2) + 3x * (4 + 6x + 9x2)) = 0 ((-8 + -12x + -18x2) + 3x * (4 + 6x + 9x2)) = 0 (-8 + -12x + -18x2 + (4 * 3x + 6x * 3x + 9x2 * 3x)) = 0 (-8 + -12x + -18x2 + (12x + 18x2 + 27x3)) = 0 Reorder the terms: (-8 + -12x + 12x + -18x2 + 18x2 + 27x3) = 0 Combine like terms: -12x + 12x = 0 (-8 + 0 + -18x2 + 18x2 + 27x3) = 0 (-8 + -18x2 + 18x2 + 27x3) = 0 Combine like terms: -18x2 + 18x2 = 0 (-8 + 0 + 27x3) = 0 (-8 + 27x3) = 0 Solving -8 + 27x3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 27x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 27x3 = 0 + 8 27x3 = 0 + 8 Combine like terms: 0 + 8 = 8 27x3 = 8 Divide each side by '27'. x3 = 0.2962962963 Simplifying x3 = 0.2962962963 Reorder the terms: -0.2962962963 + x3 = 0.2962962963 + -0.2962962963 Combine like terms: 0.2962962963 + -0.2962962963 = 0.0000000000 -0.2962962963 + x3 = 0.0000000000 The solution to this equation could not be determined.
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