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Simplifying f(x) + f(2x + y) + -1f(3 + -1y) = 2x2 + 1 + -5xy Multiply f * x fx + f(2x + y) + -1f(3 + -1y) = 2x2 + 1 + -5xy fx + (2x * f + y * f) + -1f(3 + -1y) = 2x2 + 1 + -5xy fx + (2fx + fy) + -1f(3 + -1y) = 2x2 + 1 + -5xy fx + 2fx + fy + (3 * -1f + -1y * -1f) = 2x2 + 1 + -5xy fx + 2fx + fy + (-3f + 1fy) = 2x2 + 1 + -5xy Reorder the terms: -3f + fx + 2fx + fy + 1fy = 2x2 + 1 + -5xy Combine like terms: fx + 2fx = 3fx -3f + 3fx + fy + 1fy = 2x2 + 1 + -5xy Combine like terms: fy + 1fy = 2fy -3f + 3fx + 2fy = 2x2 + 1 + -5xy Reorder the terms: -3f + 3fx + 2fy = 1 + -5xy + 2x2 Solving -3f + 3fx + 2fy = 1 + -5xy + 2x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -1 + -3f + 3fx + 2fy + 5xy + -2x2 = 1 + -5xy + 2x2 + -1 + 5xy + -2x2 Reorder the terms: -1 + -3f + 3fx + 2fy + 5xy + -2x2 = 1 + -1 + -5xy + 5xy + 2x2 + -2x2 Combine like terms: 1 + -1 = 0 -1 + -3f + 3fx + 2fy + 5xy + -2x2 = 0 + -5xy + 5xy + 2x2 + -2x2 -1 + -3f + 3fx + 2fy + 5xy + -2x2 = -5xy + 5xy + 2x2 + -2x2 Combine like terms: -5xy + 5xy = 0 -1 + -3f + 3fx + 2fy + 5xy + -2x2 = 0 + 2x2 + -2x2 -1 + -3f + 3fx + 2fy + 5xy + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1 + -3f + 3fx + 2fy + 5xy + -2x2 = 0 The solution to this equation could not be determined.
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