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Simplifying H(x) = 4x4 + -5x3 + 2x2 + -1x + 5 Multiply H * x xH = 4x4 + -5x3 + 2x2 + -1x + 5 Reorder the terms: xH = 5 + -1x + 2x2 + -5x3 + 4x4 Solving xH = 5 + -1x + 2x2 + -5x3 + 4x4 Solving for variable 'x'. Reorder the terms: -5 + x + xH + -2x2 + 5x3 + -4x4 = 5 + -1x + 2x2 + -5x3 + 4x4 + -5 + x + -2x2 + 5x3 + -4x4 Reorder the terms: -5 + x + xH + -2x2 + 5x3 + -4x4 = 5 + -5 + -1x + x + 2x2 + -2x2 + -5x3 + 5x3 + 4x4 + -4x4 Combine like terms: 5 + -5 = 0 -5 + x + xH + -2x2 + 5x3 + -4x4 = 0 + -1x + x + 2x2 + -2x2 + -5x3 + 5x3 + 4x4 + -4x4 -5 + x + xH + -2x2 + 5x3 + -4x4 = -1x + x + 2x2 + -2x2 + -5x3 + 5x3 + 4x4 + -4x4 Combine like terms: -1x + x = 0 -5 + x + xH + -2x2 + 5x3 + -4x4 = 0 + 2x2 + -2x2 + -5x3 + 5x3 + 4x4 + -4x4 -5 + x + xH + -2x2 + 5x3 + -4x4 = 2x2 + -2x2 + -5x3 + 5x3 + 4x4 + -4x4 Combine like terms: 2x2 + -2x2 = 0 -5 + x + xH + -2x2 + 5x3 + -4x4 = 0 + -5x3 + 5x3 + 4x4 + -4x4 -5 + x + xH + -2x2 + 5x3 + -4x4 = -5x3 + 5x3 + 4x4 + -4x4 Combine like terms: -5x3 + 5x3 = 0 -5 + x + xH + -2x2 + 5x3 + -4x4 = 0 + 4x4 + -4x4 -5 + x + xH + -2x2 + 5x3 + -4x4 = 4x4 + -4x4 Combine like terms: 4x4 + -4x4 = 0 -5 + x + xH + -2x2 + 5x3 + -4x4 = 0 The solution to this equation could not be determined.
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