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Simplifying 2kx2 + -4kx + 1 = f(x) Reorder the terms: 1 + -4kx + 2kx2 = f(x) Multiply f * x 1 + -4kx + 2kx2 = fx Solving 1 + -4kx + 2kx2 = fx Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -4kx + -1 + 2kx2 = -1 + fx Reorder the terms: 1 + -1 + -4kx + 2kx2 = -1 + fx Combine like terms: 1 + -1 = 0 0 + -4kx + 2kx2 = -1 + fx -4kx + 2kx2 = -1 + fx Reorder the terms: 1 + -1fx + -4kx + 2kx2 = -1 + fx + 1 + -1fx Reorder the terms: 1 + -1fx + -4kx + 2kx2 = -1 + 1 + fx + -1fx Combine like terms: -1 + 1 = 0 1 + -1fx + -4kx + 2kx2 = 0 + fx + -1fx 1 + -1fx + -4kx + 2kx2 = fx + -1fx Combine like terms: fx + -1fx = 0 1 + -1fx + -4kx + 2kx2 = 0 The solution to this equation could not be determined.
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