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Simplifying f(x) = 4x3 + 5x2 + -6x + -4f(-2) Multiply f * x fx = 4x3 + 5x2 + -6x + -4f(-2) Reorder the terms for easier multiplication: fx = 4x3 + 5x2 + -6x + -4 * -2f Multiply -4 * -2 fx = 4x3 + 5x2 + -6x + 8f Reorder the terms: fx = 8f + -6x + 5x2 + 4x3 Solving fx = 8f + -6x + 5x2 + 4x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8f' to each side of the equation. -8f + fx = 8f + -6x + 5x2 + -8f + 4x3 Reorder the terms: -8f + fx = 8f + -8f + -6x + 5x2 + 4x3 Combine like terms: 8f + -8f = 0 -8f + fx = 0 + -6x + 5x2 + 4x3 -8f + fx = -6x + 5x2 + 4x3 Reorder the terms: -8f + fx + 6x + -5x2 + -4x3 = -6x + 6x + 5x2 + -5x2 + 4x3 + -4x3 Combine like terms: -6x + 6x = 0 -8f + fx + 6x + -5x2 + -4x3 = 0 + 5x2 + -5x2 + 4x3 + -4x3 -8f + fx + 6x + -5x2 + -4x3 = 5x2 + -5x2 + 4x3 + -4x3 Combine like terms: 5x2 + -5x2 = 0 -8f + fx + 6x + -5x2 + -4x3 = 0 + 4x3 + -4x3 -8f + fx + 6x + -5x2 + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -8f + fx + 6x + -5x2 + -4x3 = 0 The solution to this equation could not be determined.
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