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Simplifying f(x) + f(2x) + f(3x) + f(x) = f(4x) Multiply f * x fx + f(2x) + f(3x) + f(x) = f(4x) Remove parenthesis around (2x) fx + f * 2x + f(3x) + f(x) = f(4x) Reorder the terms for easier multiplication: fx + 2f * x + f(3x) + f(x) = f(4x) Multiply f * x fx + 2fx + f(3x) + f(x) = f(4x) Remove parenthesis around (3x) fx + 2fx + f * 3x + f(x) = f(4x) Reorder the terms for easier multiplication: fx + 2fx + 3f * x + f(x) = f(4x) Multiply f * x fx + 2fx + 3fx + f(x) = f(4x) Multiply f * x fx + 2fx + 3fx + fx = f(4x) Combine like terms: fx + 2fx = 3fx 3fx + 3fx + fx = f(4x) Combine like terms: 3fx + 3fx = 6fx 6fx + fx = f(4x) Combine like terms: 6fx + fx = 7fx 7fx = f(4x) Remove parenthesis around (4x) 7fx = f * 4x Reorder the terms for easier multiplication: 7fx = 4f * x Multiply f * x 7fx = 4fx Solving 7fx = 4fx Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4fx' to each side of the equation. 7fx + -4fx = 4fx + -4fx Combine like terms: 7fx + -4fx = 3fx 3fx = 4fx + -4fx Combine like terms: 4fx + -4fx = 0 3fx = 0 Divide each side by '3'. fx = 0 Simplifying fx = 0 The solution to this equation could not be determined.
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