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Simplifying G(f(3)) + g(g(8)) = 0 Reorder the terms for easier multiplication: G(3f) + g(g(8)) = 0 Remove parenthesis around (3f) G * 3f + g(g(8)) = 0 Reorder the terms for easier multiplication: 3G * f + g(g(8)) = 0 Multiply G * f 3fG + g(g(8)) = 0 Reorder the terms for easier multiplication: 3fG + g(8g) = 0 Remove parenthesis around (8g) 3fG + g * 8g = 0 Reorder the terms for easier multiplication: 3fG + 8g * g = 0 Multiply g * g 3fG + 8g2 = 0 Solving 3fG + 8g2 = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8g2' to each side of the equation. 3fG + 8g2 + -8g2 = 0 + -8g2 Combine like terms: 8g2 + -8g2 = 0 3fG + 0 = 0 + -8g2 3fG = 0 + -8g2 Remove the zero: 3fG = -8g2 Divide each side by '3G'. f = -2.666666667g2G-1 Simplifying f = -2.666666667g2G-1
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