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Simplifying (4x2 + 9)(2x + -3)(2x + -3) = 0 Reorder the terms: (9 + 4x2)(2x + -3)(2x + -3) = 0 Reorder the terms: (9 + 4x2)(-3 + 2x)(2x + -3) = 0 Reorder the terms: (9 + 4x2)(-3 + 2x)(-3 + 2x) = 0 Multiply (9 + 4x2) * (-3 + 2x) (9(-3 + 2x) + 4x2 * (-3 + 2x))(-3 + 2x) = 0 ((-3 * 9 + 2x * 9) + 4x2 * (-3 + 2x))(-3 + 2x) = 0 ((-27 + 18x) + 4x2 * (-3 + 2x))(-3 + 2x) = 0 (-27 + 18x + (-3 * 4x2 + 2x * 4x2))(-3 + 2x) = 0 (-27 + 18x + (-12x2 + 8x3))(-3 + 2x) = 0 (-27 + 18x + -12x2 + 8x3)(-3 + 2x) = 0 Multiply (-27 + 18x + -12x2 + 8x3) * (-3 + 2x) (-27(-3 + 2x) + 18x * (-3 + 2x) + -12x2 * (-3 + 2x) + 8x3 * (-3 + 2x)) = 0 ((-3 * -27 + 2x * -27) + 18x * (-3 + 2x) + -12x2 * (-3 + 2x) + 8x3 * (-3 + 2x)) = 0 ((81 + -54x) + 18x * (-3 + 2x) + -12x2 * (-3 + 2x) + 8x3 * (-3 + 2x)) = 0 (81 + -54x + (-3 * 18x + 2x * 18x) + -12x2 * (-3 + 2x) + 8x3 * (-3 + 2x)) = 0 (81 + -54x + (-54x + 36x2) + -12x2 * (-3 + 2x) + 8x3 * (-3 + 2x)) = 0 (81 + -54x + -54x + 36x2 + (-3 * -12x2 + 2x * -12x2) + 8x3 * (-3 + 2x)) = 0 (81 + -54x + -54x + 36x2 + (36x2 + -24x3) + 8x3 * (-3 + 2x)) = 0 (81 + -54x + -54x + 36x2 + 36x2 + -24x3 + (-3 * 8x3 + 2x * 8x3)) = 0 (81 + -54x + -54x + 36x2 + 36x2 + -24x3 + (-24x3 + 16x4)) = 0 Combine like terms: -54x + -54x = -108x (81 + -108x + 36x2 + 36x2 + -24x3 + -24x3 + 16x4) = 0 Combine like terms: 36x2 + 36x2 = 72x2 (81 + -108x + 72x2 + -24x3 + -24x3 + 16x4) = 0 Combine like terms: -24x3 + -24x3 = -48x3 (81 + -108x + 72x2 + -48x3 + 16x4) = 0 Solving 81 + -108x + 72x2 + -48x3 + 16x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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