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Simplifying f(x + 5) = x * x + kx + 30 Reorder the terms: f(5 + x) = x * x + kx + 30 (5 * f + x * f) = x * x + kx + 30 (5f + fx) = x * x + kx + 30 Multiply x * x 5f + fx = x2 + kx + 30 Reorder the terms: 5f + fx = 30 + kx + x2 Solving 5f + fx = 30 + kx + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -30 + 5f + fx + -1kx + -1x2 = 30 + kx + x2 + -30 + -1kx + -1x2 Reorder the terms: -30 + 5f + fx + -1kx + -1x2 = 30 + -30 + kx + -1kx + x2 + -1x2 Combine like terms: 30 + -30 = 0 -30 + 5f + fx + -1kx + -1x2 = 0 + kx + -1kx + x2 + -1x2 -30 + 5f + fx + -1kx + -1x2 = kx + -1kx + x2 + -1x2 Combine like terms: kx + -1kx = 0 -30 + 5f + fx + -1kx + -1x2 = 0 + x2 + -1x2 -30 + 5f + fx + -1kx + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -30 + 5f + fx + -1kx + -1x2 = 0 The solution to this equation could not be determined.
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