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Simplifying 0 = (x + 6)(x2 + -4x + 3) Reorder the terms: 0 = (6 + x)(x2 + -4x + 3) Reorder the terms: 0 = (6 + x)(3 + -4x + x2) Multiply (6 + x) * (3 + -4x + x2) 0 = (6(3 + -4x + x2) + x(3 + -4x + x2)) 0 = ((3 * 6 + -4x * 6 + x2 * 6) + x(3 + -4x + x2)) 0 = ((18 + -24x + 6x2) + x(3 + -4x + x2)) 0 = (18 + -24x + 6x2 + (3 * x + -4x * x + x2 * x)) 0 = (18 + -24x + 6x2 + (3x + -4x2 + x3)) Reorder the terms: 0 = (18 + -24x + 3x + 6x2 + -4x2 + x3) Combine like terms: -24x + 3x = -21x 0 = (18 + -21x + 6x2 + -4x2 + x3) Combine like terms: 6x2 + -4x2 = 2x2 0 = (18 + -21x + 2x2 + x3) Solving 0 = 18 + -21x + 2x2 + x3 Solving for variable 'x'. Combine like terms: 0 + -18 = -18 -18 + 21x + -2x2 + -1x3 = 18 + -21x + 2x2 + x3 + -18 + 21x + -2x2 + -1x3 Reorder the terms: -18 + 21x + -2x2 + -1x3 = 18 + -18 + -21x + 21x + 2x2 + -2x2 + x3 + -1x3 Combine like terms: 18 + -18 = 0 -18 + 21x + -2x2 + -1x3 = 0 + -21x + 21x + 2x2 + -2x2 + x3 + -1x3 -18 + 21x + -2x2 + -1x3 = -21x + 21x + 2x2 + -2x2 + x3 + -1x3 Combine like terms: -21x + 21x = 0 -18 + 21x + -2x2 + -1x3 = 0 + 2x2 + -2x2 + x3 + -1x3 -18 + 21x + -2x2 + -1x3 = 2x2 + -2x2 + x3 + -1x3 Combine like terms: 2x2 + -2x2 = 0 -18 + 21x + -2x2 + -1x3 = 0 + x3 + -1x3 -18 + 21x + -2x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -18 + 21x + -2x2 + -1x3 = 0 The solution to this equation could not be determined.
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