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Simplifying (2x + -3)(2x + -3)(2x + -3) + -8 = 0 Reorder the terms: (-3 + 2x)(2x + -3)(2x + -3) + -8 = 0 Reorder the terms: (-3 + 2x)(-3 + 2x)(2x + -3) + -8 = 0 Reorder the terms: (-3 + 2x)(-3 + 2x)(-3 + 2x) + -8 = 0 Multiply (-3 + 2x) * (-3 + 2x) (-3(-3 + 2x) + 2x * (-3 + 2x))(-3 + 2x) + -8 = 0 ((-3 * -3 + 2x * -3) + 2x * (-3 + 2x))(-3 + 2x) + -8 = 0 ((9 + -6x) + 2x * (-3 + 2x))(-3 + 2x) + -8 = 0 (9 + -6x + (-3 * 2x + 2x * 2x))(-3 + 2x) + -8 = 0 (9 + -6x + (-6x + 4x2))(-3 + 2x) + -8 = 0 Combine like terms: -6x + -6x = -12x (9 + -12x + 4x2)(-3 + 2x) + -8 = 0 Multiply (9 + -12x + 4x2) * (-3 + 2x) (9(-3 + 2x) + -12x * (-3 + 2x) + 4x2 * (-3 + 2x)) + -8 = 0 ((-3 * 9 + 2x * 9) + -12x * (-3 + 2x) + 4x2 * (-3 + 2x)) + -8 = 0 ((-27 + 18x) + -12x * (-3 + 2x) + 4x2 * (-3 + 2x)) + -8 = 0 (-27 + 18x + (-3 * -12x + 2x * -12x) + 4x2 * (-3 + 2x)) + -8 = 0 (-27 + 18x + (36x + -24x2) + 4x2 * (-3 + 2x)) + -8 = 0 (-27 + 18x + 36x + -24x2 + (-3 * 4x2 + 2x * 4x2)) + -8 = 0 (-27 + 18x + 36x + -24x2 + (-12x2 + 8x3)) + -8 = 0 Combine like terms: 18x + 36x = 54x (-27 + 54x + -24x2 + -12x2 + 8x3) + -8 = 0 Combine like terms: -24x2 + -12x2 = -36x2 (-27 + 54x + -36x2 + 8x3) + -8 = 0 Reorder the terms: -27 + -8 + 54x + -36x2 + 8x3 = 0 Combine like terms: -27 + -8 = -35 -35 + 54x + -36x2 + 8x3 = 0 Solving -35 + 54x + -36x2 + 8x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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