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Simplifying (9g + 4)(g + 5) = 0 Reorder the terms: (4 + 9g)(g + 5) = 0 Reorder the terms: (4 + 9g)(5 + g) = 0 Multiply (4 + 9g) * (5 + g) (4(5 + g) + 9g * (5 + g)) = 0 ((5 * 4 + g * 4) + 9g * (5 + g)) = 0 ((20 + 4g) + 9g * (5 + g)) = 0 (20 + 4g + (5 * 9g + g * 9g)) = 0 (20 + 4g + (45g + 9g2)) = 0 Combine like terms: 4g + 45g = 49g (20 + 49g + 9g2) = 0 Solving 20 + 49g + 9g2 = 0 Solving for variable 'g'. Factor a trinomial. (5 + g)(4 + 9g) = 0Subproblem 1
Set the factor '(5 + g)' equal to zero and attempt to solve: Simplifying 5 + g = 0 Solving 5 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + g = 0 + -5 g = 0 + -5 Combine like terms: 0 + -5 = -5 g = -5 Simplifying g = -5Subproblem 2
Set the factor '(4 + 9g)' equal to zero and attempt to solve: Simplifying 4 + 9g = 0 Solving 4 + 9g = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9g = 0 + -4 9g = 0 + -4 Combine like terms: 0 + -4 = -4 9g = -4 Divide each side by '9'. g = -0.4444444444 Simplifying g = -0.4444444444Solution
g = {-5, -0.4444444444}
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