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Simplifying g(x) = 4(x + 5)(x + 5) + 3 Multiply g * x gx = 4(x + 5)(x + 5) + 3 Reorder the terms: gx = 4(5 + x)(x + 5) + 3 Reorder the terms: gx = 4(5 + x)(5 + x) + 3 Multiply (5 + x) * (5 + x) gx = 4(5(5 + x) + x(5 + x)) + 3 gx = 4((5 * 5 + x * 5) + x(5 + x)) + 3 gx = 4((25 + 5x) + x(5 + x)) + 3 gx = 4(25 + 5x + (5 * x + x * x)) + 3 gx = 4(25 + 5x + (5x + x2)) + 3 Combine like terms: 5x + 5x = 10x gx = 4(25 + 10x + x2) + 3 gx = (25 * 4 + 10x * 4 + x2 * 4) + 3 gx = (100 + 40x + 4x2) + 3 Reorder the terms: gx = 100 + 3 + 40x + 4x2 Combine like terms: 100 + 3 = 103 gx = 103 + 40x + 4x2 Solving gx = 103 + 40x + 4x2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = 103x-1 + 40 + 4x Simplifying g = 103x-1 + 40 + 4x Reorder the terms: g = 40 + 103x-1 + 4x
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