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Simplifying f(x) = (3x + 2)(-6x + -3) Multiply f * x fx = (3x + 2)(-6x + -3) Reorder the terms: fx = (2 + 3x)(-6x + -3) Reorder the terms: fx = (2 + 3x)(-3 + -6x) Multiply (2 + 3x) * (-3 + -6x) fx = (2(-3 + -6x) + 3x * (-3 + -6x)) fx = ((-3 * 2 + -6x * 2) + 3x * (-3 + -6x)) fx = ((-6 + -12x) + 3x * (-3 + -6x)) fx = (-6 + -12x + (-3 * 3x + -6x * 3x)) fx = (-6 + -12x + (-9x + -18x2)) Combine like terms: -12x + -9x = -21x fx = (-6 + -21x + -18x2) Solving fx = -6 + -21x + -18x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -6x-1 + -21 + -18x Simplifying f = -6x-1 + -21 + -18x Reorder the terms: f = -21 + -6x-1 + -18x
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