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Simplifying f(x) = (3x + 4)(x + -2) Multiply f * x fx = (3x + 4)(x + -2) Reorder the terms: fx = (4 + 3x)(x + -2) Reorder the terms: fx = (4 + 3x)(-2 + x) Multiply (4 + 3x) * (-2 + x) fx = (4(-2 + x) + 3x * (-2 + x)) fx = ((-2 * 4 + x * 4) + 3x * (-2 + x)) fx = ((-8 + 4x) + 3x * (-2 + x)) fx = (-8 + 4x + (-2 * 3x + x * 3x)) fx = (-8 + 4x + (-6x + 3x2)) Combine like terms: 4x + -6x = -2x fx = (-8 + -2x + 3x2) Solving fx = -8 + -2x + 3x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -8x-1 + -2 + 3x Simplifying f = -8x-1 + -2 + 3x Reorder the terms: f = -2 + -8x-1 + 3x
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