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Simplifying H(x) = x4 + 6x3 + 10x2 + 6x + 9 Multiply H * x xH = x4 + 6x3 + 10x2 + 6x + 9 Reorder the terms: xH = 9 + 6x + 10x2 + 6x3 + x4 Solving xH = 9 + 6x + 10x2 + 6x3 + x4 Solving for variable 'x'. Reorder the terms: -9 + -6x + xH + -10x2 + -6x3 + -1x4 = 9 + 6x + 10x2 + 6x3 + x4 + -9 + -6x + -10x2 + -6x3 + -1x4 Reorder the terms: -9 + -6x + xH + -10x2 + -6x3 + -1x4 = 9 + -9 + 6x + -6x + 10x2 + -10x2 + 6x3 + -6x3 + x4 + -1x4 Combine like terms: 9 + -9 = 0 -9 + -6x + xH + -10x2 + -6x3 + -1x4 = 0 + 6x + -6x + 10x2 + -10x2 + 6x3 + -6x3 + x4 + -1x4 -9 + -6x + xH + -10x2 + -6x3 + -1x4 = 6x + -6x + 10x2 + -10x2 + 6x3 + -6x3 + x4 + -1x4 Combine like terms: 6x + -6x = 0 -9 + -6x + xH + -10x2 + -6x3 + -1x4 = 0 + 10x2 + -10x2 + 6x3 + -6x3 + x4 + -1x4 -9 + -6x + xH + -10x2 + -6x3 + -1x4 = 10x2 + -10x2 + 6x3 + -6x3 + x4 + -1x4 Combine like terms: 10x2 + -10x2 = 0 -9 + -6x + xH + -10x2 + -6x3 + -1x4 = 0 + 6x3 + -6x3 + x4 + -1x4 -9 + -6x + xH + -10x2 + -6x3 + -1x4 = 6x3 + -6x3 + x4 + -1x4 Combine like terms: 6x3 + -6x3 = 0 -9 + -6x + xH + -10x2 + -6x3 + -1x4 = 0 + x4 + -1x4 -9 + -6x + xH + -10x2 + -6x3 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -9 + -6x + xH + -10x2 + -6x3 + -1x4 = 0 The solution to this equation could not be determined.
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