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Simplifying x(f(x) + f(-1x) + 2) + 2f(-1x) = 0 Multiply f * x x(fx + f(-1x) + 2) + 2f(-1x) = 0 Remove parenthesis around (-1x) x(fx + f * -1x + 2) + 2f(-1x) = 0 Reorder the terms for easier multiplication: x(fx + -1f * x + 2) + 2f(-1x) = 0 Multiply f * x x(fx + -1fx + 2) + 2f(-1x) = 0 Reorder the terms: x(2 + fx + -1fx) + 2f(-1x) = 0 Combine like terms: fx + -1fx = 0 x(2 + 0) + 2f(-1x) = 0 x(2) + 2f(-1x) = 0 Reorder the terms for easier multiplication: 2x + 2f(-1x) = 0 Remove parenthesis around (-1x) 2x + 2f * -1x = 0 Reorder the terms for easier multiplication: 2x + 2 * -1f * x = 0 Multiply 2 * -1 2x + -2f * x = 0 Multiply f * x 2x + -2fx = 0 Reorder the terms: -2fx + 2x = 0 Solving -2fx + 2x = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2x' to each side of the equation. -2fx + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 -2fx + 0 = 0 + -2x -2fx = 0 + -2x Remove the zero: -2fx = -2x Divide each side by '-2x'. f = 1 Simplifying f = 1
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