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Simplifying f(x + h) = (x + h) + -1(7x + -5) Reorder the terms: f(h + x) = (x + h) + -1(7x + -5) (h * f + x * f) = (x + h) + -1(7x + -5) (fh + fx) = (x + h) + -1(7x + -5) Reorder the terms: fh + fx = (h + x) + -1(7x + -5) Remove parenthesis around (h + x) fh + fx = h + x + -1(7x + -5) Reorder the terms: fh + fx = h + x + -1(-5 + 7x) fh + fx = h + x + (-5 * -1 + 7x * -1) fh + fx = h + x + (5 + -7x) Reorder the terms: fh + fx = 5 + h + x + -7x Combine like terms: x + -7x = -6x fh + fx = 5 + h + -6x Solving fh + fx = 5 + h + -6x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -5 + fh + fx + -1h + 6x = 5 + h + -6x + -5 + -1h + 6x Reorder the terms: -5 + fh + fx + -1h + 6x = 5 + -5 + h + -1h + -6x + 6x Combine like terms: 5 + -5 = 0 -5 + fh + fx + -1h + 6x = 0 + h + -1h + -6x + 6x -5 + fh + fx + -1h + 6x = h + -1h + -6x + 6x Combine like terms: h + -1h = 0 -5 + fh + fx + -1h + 6x = 0 + -6x + 6x -5 + fh + fx + -1h + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -5 + fh + fx + -1h + 6x = 0 The solution to this equation could not be determined.
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