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Simplifying f(-2) * f(x) = x4 + -3x2 + 6x + -1 Reorder the terms for easier multiplication: -2f * f * x = x4 + -3x2 + 6x + -1 Multiply f * f -2f2 * x = x4 + -3x2 + 6x + -1 Multiply f2 * x -2f2x = x4 + -3x2 + 6x + -1 Reorder the terms: -2f2x = -1 + 6x + -3x2 + x4 Solving -2f2x = -1 + 6x + -3x2 + x4 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by '-2x'. f2 = 0.5x-1 + -3 + 1.5x + -0.5x3 Simplifying f2 = 0.5x-1 + -3 + 1.5x + -0.5x3 Reorder the terms: f2 = -3 + 0.5x-1 + 1.5x + -0.5x3 Reorder the terms: 3 + f2 + -0.5x-1 + -1.5x + 0.5x3 = -3 + 0.5x-1 + 1.5x + -0.5x3 + 3 + -0.5x-1 + -1.5x + 0.5x3 Reorder the terms: 3 + f2 + -0.5x-1 + -1.5x + 0.5x3 = -3 + 3 + 0.5x-1 + -0.5x-1 + 1.5x + -1.5x + -0.5x3 + 0.5x3 Combine like terms: -3 + 3 = 0 3 + f2 + -0.5x-1 + -1.5x + 0.5x3 = 0 + 0.5x-1 + -0.5x-1 + 1.5x + -1.5x + -0.5x3 + 0.5x3 3 + f2 + -0.5x-1 + -1.5x + 0.5x3 = 0.5x-1 + -0.5x-1 + 1.5x + -1.5x + -0.5x3 + 0.5x3 Combine like terms: 0.5x-1 + -0.5x-1 = 0.0 3 + f2 + -0.5x-1 + -1.5x + 0.5x3 = 0.0 + 1.5x + -1.5x + -0.5x3 + 0.5x3 3 + f2 + -0.5x-1 + -1.5x + 0.5x3 = 1.5x + -1.5x + -0.5x3 + 0.5x3 Combine like terms: 1.5x + -1.5x = 0.0 3 + f2 + -0.5x-1 + -1.5x + 0.5x3 = 0.0 + -0.5x3 + 0.5x3 3 + f2 + -0.5x-1 + -1.5x + 0.5x3 = -0.5x3 + 0.5x3 Combine like terms: -0.5x3 + 0.5x3 = 0.0 3 + f2 + -0.5x-1 + -1.5x + 0.5x3 = 0.0 The solution to this equation could not be determined.
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