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Simplifying (g + 3)(g + 3) + -1 = 6(g + 4) + 18 Reorder the terms: (3 + g)(g + 3) + -1 = 6(g + 4) + 18 Reorder the terms: (3 + g)(3 + g) + -1 = 6(g + 4) + 18 Multiply (3 + g) * (3 + g) (3(3 + g) + g(3 + g)) + -1 = 6(g + 4) + 18 ((3 * 3 + g * 3) + g(3 + g)) + -1 = 6(g + 4) + 18 ((9 + 3g) + g(3 + g)) + -1 = 6(g + 4) + 18 (9 + 3g + (3 * g + g * g)) + -1 = 6(g + 4) + 18 (9 + 3g + (3g + g2)) + -1 = 6(g + 4) + 18 Combine like terms: 3g + 3g = 6g (9 + 6g + g2) + -1 = 6(g + 4) + 18 Reorder the terms: 9 + -1 + 6g + g2 = 6(g + 4) + 18 Combine like terms: 9 + -1 = 8 8 + 6g + g2 = 6(g + 4) + 18 Reorder the terms: 8 + 6g + g2 = 6(4 + g) + 18 8 + 6g + g2 = (4 * 6 + g * 6) + 18 8 + 6g + g2 = (24 + 6g) + 18 Reorder the terms: 8 + 6g + g2 = 24 + 18 + 6g Combine like terms: 24 + 18 = 42 8 + 6g + g2 = 42 + 6g Add '-6g' to each side of the equation. 8 + 6g + -6g + g2 = 42 + 6g + -6g Combine like terms: 6g + -6g = 0 8 + 0 + g2 = 42 + 6g + -6g 8 + g2 = 42 + 6g + -6g Combine like terms: 6g + -6g = 0 8 + g2 = 42 + 0 8 + g2 = 42 Solving 8 + g2 = 42 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + g2 = 42 + -8 Combine like terms: 8 + -8 = 0 0 + g2 = 42 + -8 g2 = 42 + -8 Combine like terms: 42 + -8 = 34 g2 = 34 Simplifying g2 = 34 Take the square root of each side: g = {-5.830951895, 5.830951895}
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