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Simplifying F(x) = x3 + px2 + qx + 2 Multiply F * x xF = x3 + px2 + qx + 2 Reorder the terms: xF = 2 + px2 + qx + x3 Solving xF = 2 + px2 + qx + x3 Solving for variable 'x'. Reorder the terms: -2 + -1px2 + -1qx + xF + -1x3 = 2 + px2 + qx + x3 + -2 + -1px2 + -1qx + -1x3 Reorder the terms: -2 + -1px2 + -1qx + xF + -1x3 = 2 + -2 + px2 + -1px2 + qx + -1qx + x3 + -1x3 Combine like terms: 2 + -2 = 0 -2 + -1px2 + -1qx + xF + -1x3 = 0 + px2 + -1px2 + qx + -1qx + x3 + -1x3 -2 + -1px2 + -1qx + xF + -1x3 = px2 + -1px2 + qx + -1qx + x3 + -1x3 Combine like terms: px2 + -1px2 = 0 -2 + -1px2 + -1qx + xF + -1x3 = 0 + qx + -1qx + x3 + -1x3 -2 + -1px2 + -1qx + xF + -1x3 = qx + -1qx + x3 + -1x3 Combine like terms: qx + -1qx = 0 -2 + -1px2 + -1qx + xF + -1x3 = 0 + x3 + -1x3 -2 + -1px2 + -1qx + xF + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -2 + -1px2 + -1qx + xF + -1x3 = 0 The solution to this equation could not be determined.
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