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Simplifying f(x) = x6 + -2x5 + x4 + x3 + -9x2 + -20whenf(2) Multiply f * x fx = x6 + -2x5 + x4 + x3 + -9x2 + -20whenf(2) Reorder the terms for easier multiplication: fx = x6 + -2x5 + x4 + x3 + -9x2 + -20 * 2efhnw Multiply -20 * 2 fx = x6 + -2x5 + x4 + x3 + -9x2 + -40efhnw Reorder the terms: fx = -40efhnw + -9x2 + x3 + x4 + -2x5 + x6 Solving fx = -40efhnw + -9x2 + x3 + x4 + -2x5 + x6 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '40efhnw' to each side of the equation. 40efhnw + fx = -40efhnw + -9x2 + x3 + x4 + -2x5 + 40efhnw + x6 Reorder the terms: 40efhnw + fx = -40efhnw + 40efhnw + -9x2 + x3 + x4 + -2x5 + x6 Combine like terms: -40efhnw + 40efhnw = 0 40efhnw + fx = 0 + -9x2 + x3 + x4 + -2x5 + x6 40efhnw + fx = -9x2 + x3 + x4 + -2x5 + x6 Reorder the terms: 40efhnw + fx + 9x2 + -1x3 + -1x4 + 2x5 + -1x6 = -9x2 + 9x2 + x3 + -1x3 + x4 + -1x4 + -2x5 + 2x5 + x6 + -1x6 Combine like terms: -9x2 + 9x2 = 0 40efhnw + fx + 9x2 + -1x3 + -1x4 + 2x5 + -1x6 = 0 + x3 + -1x3 + x4 + -1x4 + -2x5 + 2x5 + x6 + -1x6 40efhnw + fx + 9x2 + -1x3 + -1x4 + 2x5 + -1x6 = x3 + -1x3 + x4 + -1x4 + -2x5 + 2x5 + x6 + -1x6 Combine like terms: x3 + -1x3 = 0 40efhnw + fx + 9x2 + -1x3 + -1x4 + 2x5 + -1x6 = 0 + x4 + -1x4 + -2x5 + 2x5 + x6 + -1x6 40efhnw + fx + 9x2 + -1x3 + -1x4 + 2x5 + -1x6 = x4 + -1x4 + -2x5 + 2x5 + x6 + -1x6 Combine like terms: x4 + -1x4 = 0 40efhnw + fx + 9x2 + -1x3 + -1x4 + 2x5 + -1x6 = 0 + -2x5 + 2x5 + x6 + -1x6 40efhnw + fx + 9x2 + -1x3 + -1x4 + 2x5 + -1x6 = -2x5 + 2x5 + x6 + -1x6 Combine like terms: -2x5 + 2x5 = 0 40efhnw + fx + 9x2 + -1x3 + -1x4 + 2x5 + -1x6 = 0 + x6 + -1x6 40efhnw + fx + 9x2 + -1x3 + -1x4 + 2x5 + -1x6 = x6 + -1x6 Combine like terms: x6 + -1x6 = 0 40efhnw + fx + 9x2 + -1x3 + -1x4 + 2x5 + -1x6 = 0 The solution to this equation could not be determined.
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