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Simplifying (2x + -3)(x + 4)(2 + -3x) = 0 Reorder the terms: (-3 + 2x)(x + 4)(2 + -3x) = 0 Reorder the terms: (-3 + 2x)(4 + x)(2 + -3x) = 0 Multiply (-3 + 2x) * (4 + x) (-3(4 + x) + 2x * (4 + x))(2 + -3x) = 0 ((4 * -3 + x * -3) + 2x * (4 + x))(2 + -3x) = 0 ((-12 + -3x) + 2x * (4 + x))(2 + -3x) = 0 (-12 + -3x + (4 * 2x + x * 2x))(2 + -3x) = 0 (-12 + -3x + (8x + 2x2))(2 + -3x) = 0 Combine like terms: -3x + 8x = 5x (-12 + 5x + 2x2)(2 + -3x) = 0 Multiply (-12 + 5x + 2x2) * (2 + -3x) (-12(2 + -3x) + 5x * (2 + -3x) + 2x2 * (2 + -3x)) = 0 ((2 * -12 + -3x * -12) + 5x * (2 + -3x) + 2x2 * (2 + -3x)) = 0 ((-24 + 36x) + 5x * (2 + -3x) + 2x2 * (2 + -3x)) = 0 (-24 + 36x + (2 * 5x + -3x * 5x) + 2x2 * (2 + -3x)) = 0 (-24 + 36x + (10x + -15x2) + 2x2 * (2 + -3x)) = 0 (-24 + 36x + 10x + -15x2 + (2 * 2x2 + -3x * 2x2)) = 0 (-24 + 36x + 10x + -15x2 + (4x2 + -6x3)) = 0 Combine like terms: 36x + 10x = 46x (-24 + 46x + -15x2 + 4x2 + -6x3) = 0 Combine like terms: -15x2 + 4x2 = -11x2 (-24 + 46x + -11x2 + -6x3) = 0 Solving -24 + 46x + -11x2 + -6x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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