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Simplifying f(x) = 4x2 + 5x + -6f(x + -1) Multiply f * x fx = 4x2 + 5x + -6f(x + -1) Reorder the terms: fx = 4x2 + 5x + -6f(-1 + x) fx = 4x2 + 5x + (-1 * -6f + x * -6f) fx = 4x2 + 5x + (6f + -6fx) Reorder the terms: fx = 6f + -6fx + 5x + 4x2 Solving fx = 6f + -6fx + 5x + 4x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6f' to each side of the equation. -6f + fx = 6f + -6fx + 5x + -6f + 4x2 Reorder the terms: -6f + fx = 6f + -6f + -6fx + 5x + 4x2 Combine like terms: 6f + -6f = 0 -6f + fx = 0 + -6fx + 5x + 4x2 -6f + fx = -6fx + 5x + 4x2 Add '6fx' to each side of the equation. -6f + fx + 6fx = -6fx + 5x + 6fx + 4x2 Combine like terms: fx + 6fx = 7fx -6f + 7fx = -6fx + 5x + 6fx + 4x2 Reorder the terms: -6f + 7fx = -6fx + 6fx + 5x + 4x2 Combine like terms: -6fx + 6fx = 0 -6f + 7fx = 0 + 5x + 4x2 -6f + 7fx = 5x + 4x2 Reorder the terms: -6f + 7fx + -5x + -4x2 = 5x + -5x + 4x2 + -4x2 Combine like terms: 5x + -5x = 0 -6f + 7fx + -5x + -4x2 = 0 + 4x2 + -4x2 -6f + 7fx + -5x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6f + 7fx + -5x + -4x2 = 0 The solution to this equation could not be determined.
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