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Simplifying f(x) = (6x + -5)(3x + 1) Multiply f * x fx = (6x + -5)(3x + 1) Reorder the terms: fx = (-5 + 6x)(3x + 1) Reorder the terms: fx = (-5 + 6x)(1 + 3x) Multiply (-5 + 6x) * (1 + 3x) fx = (-5(1 + 3x) + 6x * (1 + 3x)) fx = ((1 * -5 + 3x * -5) + 6x * (1 + 3x)) fx = ((-5 + -15x) + 6x * (1 + 3x)) fx = (-5 + -15x + (1 * 6x + 3x * 6x)) fx = (-5 + -15x + (6x + 18x2)) Combine like terms: -15x + 6x = -9x fx = (-5 + -9x + 18x2) Solving fx = -5 + -9x + 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 = -5x-1 + -9 + 18x Simplifying f = -5x-1 + -9 + 18x Reorder the terms: f = -9 + -5x-1 + 18x
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