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Simplifying (3x + 2)(3x + -2)(9x2 + 4) = 0 Reorder the terms: (2 + 3x)(3x + -2)(9x2 + 4) = 0 Reorder the terms: (2 + 3x)(-2 + 3x)(9x2 + 4) = 0 Reorder the terms: (2 + 3x)(-2 + 3x)(4 + 9x2) = 0 Multiply (2 + 3x) * (-2 + 3x) (2(-2 + 3x) + 3x * (-2 + 3x))(4 + 9x2) = 0 ((-2 * 2 + 3x * 2) + 3x * (-2 + 3x))(4 + 9x2) = 0 ((-4 + 6x) + 3x * (-2 + 3x))(4 + 9x2) = 0 (-4 + 6x + (-2 * 3x + 3x * 3x))(4 + 9x2) = 0 (-4 + 6x + (-6x + 9x2))(4 + 9x2) = 0 Combine like terms: 6x + -6x = 0 (-4 + 0 + 9x2)(4 + 9x2) = 0 (-4 + 9x2)(4 + 9x2) = 0 Multiply (-4 + 9x2) * (4 + 9x2) (-4(4 + 9x2) + 9x2 * (4 + 9x2)) = 0 ((4 * -4 + 9x2 * -4) + 9x2 * (4 + 9x2)) = 0 ((-16 + -36x2) + 9x2 * (4 + 9x2)) = 0 (-16 + -36x2 + (4 * 9x2 + 9x2 * 9x2)) = 0 (-16 + -36x2 + (36x2 + 81x4)) = 0 Combine like terms: -36x2 + 36x2 = 0 (-16 + 0 + 81x4) = 0 (-16 + 81x4) = 0 Solving -16 + 81x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 81x4 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 81x4 = 0 + 16 81x4 = 0 + 16 Combine like terms: 0 + 16 = 16 81x4 = 16 Divide each side by '81'. x4 = 0.1975308642 Simplifying x4 = 0.1975308642 Reorder the terms: -0.1975308642 + x4 = 0.1975308642 + -0.1975308642 Combine like terms: 0.1975308642 + -0.1975308642 = 0.0000000000 -0.1975308642 + x4 = 0.0000000000 The solution to this equation could not be determined.
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