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Simplifying f(x) = -5x(x2 + -36x)(x + -2) Multiply f * x fx = -5x(x2 + -36x)(x + -2) Reorder the terms: fx = -5x(-36x + x2)(x + -2) Reorder the terms: fx = -5x(-36x + x2)(-2 + x) Multiply (-36x + x2) * (-2 + x) fx = -5x(-36x * (-2 + x) + x2(-2 + x)) fx = -5x((-2 * -36x + x * -36x) + x2(-2 + x)) fx = -5x((72x + -36x2) + x2(-2 + x)) fx = -5x(72x + -36x2 + (-2 * x2 + x * x2)) fx = -5x(72x + -36x2 + (-2x2 + x3)) Combine like terms: -36x2 + -2x2 = -38x2 fx = -5x(72x + -38x2 + x3) fx = (72x * -5x + -38x2 * -5x + x3 * -5x) fx = (-360x2 + 190x3 + -5x4) Solving fx = -360x2 + 190x3 + -5x4 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -360x + 190x2 + -5x3 Simplifying f = -360x + 190x2 + -5x3
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