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Simplifying (3g + 2)(9g + 5) = 0 Reorder the terms: (2 + 3g)(9g + 5) = 0 Reorder the terms: (2 + 3g)(5 + 9g) = 0 Multiply (2 + 3g) * (5 + 9g) (2(5 + 9g) + 3g * (5 + 9g)) = 0 ((5 * 2 + 9g * 2) + 3g * (5 + 9g)) = 0 ((10 + 18g) + 3g * (5 + 9g)) = 0 (10 + 18g + (5 * 3g + 9g * 3g)) = 0 (10 + 18g + (15g + 27g2)) = 0 Combine like terms: 18g + 15g = 33g (10 + 33g + 27g2) = 0 Solving 10 + 33g + 27g2 = 0 Solving for variable 'g'. Factor a trinomial. (2 + 3g)(5 + 9g) = 0Subproblem 1
Set the factor '(2 + 3g)' equal to zero and attempt to solve: Simplifying 2 + 3g = 0 Solving 2 + 3g = 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 + 3g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3g = 0 + -2 3g = 0 + -2 Combine like terms: 0 + -2 = -2 3g = -2 Divide each side by '3'. g = -0.6666666667 Simplifying g = -0.6666666667Subproblem 2
Set the factor '(5 + 9g)' equal to zero and attempt to solve: Simplifying 5 + 9g = 0 Solving 5 + 9g = 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 + 9g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9g = 0 + -5 9g = 0 + -5 Combine like terms: 0 + -5 = -5 9g = -5 Divide each side by '9'. g = -0.5555555556 Simplifying g = -0.5555555556Solution
g = {-0.6666666667, -0.5555555556}
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