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Simplifying x2 + 4kx + 11k + 3 = f(x) Reorder the terms: 3 + 11k + 4kx + x2 = f(x) Multiply f * x 3 + 11k + 4kx + x2 = fx Solving 3 + 11k + 4kx + x2 = fx Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 11k + 4kx + -3 + x2 = -3 + fx Reorder the terms: 3 + -3 + 11k + 4kx + x2 = -3 + fx Combine like terms: 3 + -3 = 0 0 + 11k + 4kx + x2 = -3 + fx 11k + 4kx + x2 = -3 + fx Add '-1x2' to each side of the equation. 11k + 4kx + x2 + -1x2 = -3 + fx + -1x2 Combine like terms: x2 + -1x2 = 0 11k + 4kx + 0 = -3 + fx + -1x2 11k + 4kx = -3 + fx + -1x2 Reorder the terms: 3 + -1fx + 11k + 4kx + x2 = -3 + fx + -1x2 + 3 + -1fx + x2 Reorder the terms: 3 + -1fx + 11k + 4kx + x2 = -3 + 3 + fx + -1fx + -1x2 + x2 Combine like terms: -3 + 3 = 0 3 + -1fx + 11k + 4kx + x2 = 0 + fx + -1fx + -1x2 + x2 3 + -1fx + 11k + 4kx + x2 = fx + -1fx + -1x2 + x2 Combine like terms: fx + -1fx = 0 3 + -1fx + 11k + 4kx + x2 = 0 + -1x2 + x2 3 + -1fx + 11k + 4kx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 3 + -1fx + 11k + 4kx + x2 = 0 The solution to this equation could not be determined.
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