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Simplifying H(x) = 7x4 + 3x3 + -2x2 + -1x + 1 Multiply H * x xH = 7x4 + 3x3 + -2x2 + -1x + 1 Reorder the terms: xH = 1 + -1x + -2x2 + 3x3 + 7x4 Solving xH = 1 + -1x + -2x2 + 3x3 + 7x4 Solving for variable 'x'. Reorder the terms: -1 + x + xH + 2x2 + -3x3 + -7x4 = 1 + -1x + -2x2 + 3x3 + 7x4 + -1 + x + 2x2 + -3x3 + -7x4 Reorder the terms: -1 + x + xH + 2x2 + -3x3 + -7x4 = 1 + -1 + -1x + x + -2x2 + 2x2 + 3x3 + -3x3 + 7x4 + -7x4 Combine like terms: 1 + -1 = 0 -1 + x + xH + 2x2 + -3x3 + -7x4 = 0 + -1x + x + -2x2 + 2x2 + 3x3 + -3x3 + 7x4 + -7x4 -1 + x + xH + 2x2 + -3x3 + -7x4 = -1x + x + -2x2 + 2x2 + 3x3 + -3x3 + 7x4 + -7x4 Combine like terms: -1x + x = 0 -1 + x + xH + 2x2 + -3x3 + -7x4 = 0 + -2x2 + 2x2 + 3x3 + -3x3 + 7x4 + -7x4 -1 + x + xH + 2x2 + -3x3 + -7x4 = -2x2 + 2x2 + 3x3 + -3x3 + 7x4 + -7x4 Combine like terms: -2x2 + 2x2 = 0 -1 + x + xH + 2x2 + -3x3 + -7x4 = 0 + 3x3 + -3x3 + 7x4 + -7x4 -1 + x + xH + 2x2 + -3x3 + -7x4 = 3x3 + -3x3 + 7x4 + -7x4 Combine like terms: 3x3 + -3x3 = 0 -1 + x + xH + 2x2 + -3x3 + -7x4 = 0 + 7x4 + -7x4 -1 + x + xH + 2x2 + -3x3 + -7x4 = 7x4 + -7x4 Combine like terms: 7x4 + -7x4 = 0 -1 + x + xH + 2x2 + -3x3 + -7x4 = 0 The solution to this equation could not be determined.
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