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Simplifying f(x) = 5x(x + -3) + 25(x + -3) Multiply f * x fx = 5x(x + -3) + 25(x + -3) Reorder the terms: fx = 5x(-3 + x) + 25(x + -3) fx = (-3 * 5x + x * 5x) + 25(x + -3) fx = (-15x + 5x2) + 25(x + -3) Reorder the terms: fx = -15x + 5x2 + 25(-3 + x) fx = -15x + 5x2 + (-3 * 25 + x * 25) fx = -15x + 5x2 + (-75 + 25x) Reorder the terms: fx = -75 + -15x + 25x + 5x2 Combine like terms: -15x + 25x = 10x fx = -75 + 10x + 5x2 Solving fx = -75 + 10x + 5x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -75x-1 + 10 + 5x Simplifying f = -75x-1 + 10 + 5x Reorder the terms: f = 10 + -75x-1 + 5x
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