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Simplifying f(x) = (5x3 + 5)(2x7 + -6) Multiply f * x fx = (5x3 + 5)(2x7 + -6) Reorder the terms: fx = (5 + 5x3)(2x7 + -6) Reorder the terms: fx = (5 + 5x3)(-6 + 2x7) Multiply (5 + 5x3) * (-6 + 2x7) fx = (5(-6 + 2x7) + 5x3 * (-6 + 2x7)) fx = ((-6 * 5 + 2x7 * 5) + 5x3 * (-6 + 2x7)) fx = ((-30 + 10x7) + 5x3 * (-6 + 2x7)) fx = (-30 + 10x7 + (-6 * 5x3 + 2x7 * 5x3)) fx = (-30 + 10x7 + (-30x3 + 10x10)) Reorder the terms: fx = (-30 + -30x3 + 10x7 + 10x10) fx = (-30 + -30x3 + 10x7 + 10x10) Solving fx = -30 + -30x3 + 10x7 + 10x10 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -30x-1 + -30x2 + 10x6 + 10x9 Simplifying f = -30x-1 + -30x2 + 10x6 + 10x9
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