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Simplifying (4x2 + -5x + 8)(2x + -3) = 0 Reorder the terms: (8 + -5x + 4x2)(2x + -3) = 0 Reorder the terms: (8 + -5x + 4x2)(-3 + 2x) = 0 Multiply (8 + -5x + 4x2) * (-3 + 2x) (8(-3 + 2x) + -5x * (-3 + 2x) + 4x2 * (-3 + 2x)) = 0 ((-3 * 8 + 2x * 8) + -5x * (-3 + 2x) + 4x2 * (-3 + 2x)) = 0 ((-24 + 16x) + -5x * (-3 + 2x) + 4x2 * (-3 + 2x)) = 0 (-24 + 16x + (-3 * -5x + 2x * -5x) + 4x2 * (-3 + 2x)) = 0 (-24 + 16x + (15x + -10x2) + 4x2 * (-3 + 2x)) = 0 (-24 + 16x + 15x + -10x2 + (-3 * 4x2 + 2x * 4x2)) = 0 (-24 + 16x + 15x + -10x2 + (-12x2 + 8x3)) = 0 Combine like terms: 16x + 15x = 31x (-24 + 31x + -10x2 + -12x2 + 8x3) = 0 Combine like terms: -10x2 + -12x2 = -22x2 (-24 + 31x + -22x2 + 8x3) = 0 Solving -24 + 31x + -22x2 + 8x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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