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Simplifying (g + 2)(g + 10) = 0 Reorder the terms: (2 + g)(g + 10) = 0 Reorder the terms: (2 + g)(10 + g) = 0 Multiply (2 + g) * (10 + g) (2(10 + g) + g(10 + g)) = 0 ((10 * 2 + g * 2) + g(10 + g)) = 0 ((20 + 2g) + g(10 + g)) = 0 (20 + 2g + (10 * g + g * g)) = 0 (20 + 2g + (10g + g2)) = 0 Combine like terms: 2g + 10g = 12g (20 + 12g + g2) = 0 Solving 20 + 12g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (10 + g)(2 + g) = 0Subproblem 1
Set the factor '(10 + g)' equal to zero and attempt to solve: Simplifying 10 + g = 0 Solving 10 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + g = 0 + -10 Combine like terms: 10 + -10 = 0 0 + g = 0 + -10 g = 0 + -10 Combine like terms: 0 + -10 = -10 g = -10 Simplifying g = -10Subproblem 2
Set the factor '(2 + g)' equal to zero and attempt to solve: Simplifying 2 + g = 0 Solving 2 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + g = 0 + -2 g = 0 + -2 Combine like terms: 0 + -2 = -2 g = -2 Simplifying g = -2Solution
g = {-10, -2}
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