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Simplifying f(x) = 3x2 + -5x + -7f(x + 4) Multiply f * x fx = 3x2 + -5x + -7f(x + 4) Reorder the terms: fx = 3x2 + -5x + -7f(4 + x) fx = 3x2 + -5x + (4 * -7f + x * -7f) fx = 3x2 + -5x + (-28f + -7fx) Reorder the terms: fx = -28f + -7fx + -5x + 3x2 Solving fx = -28f + -7fx + -5x + 3x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '28f' to each side of the equation. 28f + fx = -28f + -7fx + -5x + 28f + 3x2 Reorder the terms: 28f + fx = -28f + 28f + -7fx + -5x + 3x2 Combine like terms: -28f + 28f = 0 28f + fx = 0 + -7fx + -5x + 3x2 28f + fx = -7fx + -5x + 3x2 Add '7fx' to each side of the equation. 28f + fx + 7fx = -7fx + -5x + 7fx + 3x2 Combine like terms: fx + 7fx = 8fx 28f + 8fx = -7fx + -5x + 7fx + 3x2 Reorder the terms: 28f + 8fx = -7fx + 7fx + -5x + 3x2 Combine like terms: -7fx + 7fx = 0 28f + 8fx = 0 + -5x + 3x2 28f + 8fx = -5x + 3x2 Reorder the terms: 28f + 8fx + 5x + -3x2 = -5x + 5x + 3x2 + -3x2 Combine like terms: -5x + 5x = 0 28f + 8fx + 5x + -3x2 = 0 + 3x2 + -3x2 28f + 8fx + 5x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 28f + 8fx + 5x + -3x2 = 0 The solution to this equation could not be determined.
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