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Simplifying f(x) = (7x + 1)(5x + -7) Multiply f * x fx = (7x + 1)(5x + -7) Reorder the terms: fx = (1 + 7x)(5x + -7) Reorder the terms: fx = (1 + 7x)(-7 + 5x) Multiply (1 + 7x) * (-7 + 5x) fx = (1(-7 + 5x) + 7x * (-7 + 5x)) fx = ((-7 * 1 + 5x * 1) + 7x * (-7 + 5x)) fx = ((-7 + 5x) + 7x * (-7 + 5x)) fx = (-7 + 5x + (-7 * 7x + 5x * 7x)) fx = (-7 + 5x + (-49x + 35x2)) Combine like terms: 5x + -49x = -44x fx = (-7 + -44x + 35x2) Solving fx = -7 + -44x + 35x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -7x-1 + -44 + 35x Simplifying f = -7x-1 + -44 + 35x Reorder the terms: f = -44 + -7x-1 + 35x
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