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Simplifying (g + 3)(g + 7) = 0 Reorder the terms: (3 + g)(g + 7) = 0 Reorder the terms: (3 + g)(7 + g) = 0 Multiply (3 + g) * (7 + g) (3(7 + g) + g(7 + g)) = 0 ((7 * 3 + g * 3) + g(7 + g)) = 0 ((21 + 3g) + g(7 + g)) = 0 (21 + 3g + (7 * g + g * g)) = 0 (21 + 3g + (7g + g2)) = 0 Combine like terms: 3g + 7g = 10g (21 + 10g + g2) = 0 Solving 21 + 10g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (7 + g)(3 + g) = 0Subproblem 1
Set the factor '(7 + g)' equal to zero and attempt to solve: Simplifying 7 + g = 0 Solving 7 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + g = 0 + -7 g = 0 + -7 Combine like terms: 0 + -7 = -7 g = -7 Simplifying g = -7Subproblem 2
Set the factor '(3 + g)' equal to zero and attempt to solve: Simplifying 3 + g = 0 Solving 3 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + g = 0 + -3 g = 0 + -3 Combine like terms: 0 + -3 = -3 g = -3 Simplifying g = -3Solution
g = {-7, -3}
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