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Simplifying f(x) + -1h(x) = (x + 5) + -1(3x2 + 3x + 6) Multiply f * x fx + -1h(x) = (x + 5) + -1(3x2 + 3x + 6) Multiply h * x fx + -1hx = (x + 5) + -1(3x2 + 3x + 6) Reorder the terms: fx + -1hx = (5 + x) + -1(3x2 + 3x + 6) Remove parenthesis around (5 + x) fx + -1hx = 5 + x + -1(3x2 + 3x + 6) Reorder the terms: fx + -1hx = 5 + x + -1(6 + 3x + 3x2) fx + -1hx = 5 + x + (6 * -1 + 3x * -1 + 3x2 * -1) fx + -1hx = 5 + x + (-6 + -3x + -3x2) Reorder the terms: fx + -1hx = 5 + -6 + x + -3x + -3x2 Combine like terms: 5 + -6 = -1 fx + -1hx = -1 + x + -3x + -3x2 Combine like terms: x + -3x = -2x fx + -1hx = -1 + -2x + -3x2 Solving fx + -1hx = -1 + -2x + -3x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add 'hx' to each side of the equation. fx + -1hx + hx = -1 + -2x + hx + -3x2 Combine like terms: -1hx + hx = 0 fx + 0 = -1 + -2x + hx + -3x2 fx = -1 + -2x + hx + -3x2 Reorder the terms: fx = -1 + hx + -2x + -3x2 Divide each side by 'x'. f = -1x-1 + h + -2 + -3x Simplifying f = -1x-1 + h + -2 + -3x Reorder the terms: f = -2 + h + -1x-1 + -3x
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