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Simplifying (4g + 5)(g + 1) = 0 Reorder the terms: (5 + 4g)(g + 1) = 0 Reorder the terms: (5 + 4g)(1 + g) = 0 Multiply (5 + 4g) * (1 + g) (5(1 + g) + 4g * (1 + g)) = 0 ((1 * 5 + g * 5) + 4g * (1 + g)) = 0 ((5 + 5g) + 4g * (1 + g)) = 0 (5 + 5g + (1 * 4g + g * 4g)) = 0 (5 + 5g + (4g + 4g2)) = 0 Combine like terms: 5g + 4g = 9g (5 + 9g + 4g2) = 0 Solving 5 + 9g + 4g2 = 0 Solving for variable 'g'. Factor a trinomial. (5 + 4g)(1 + g) = 0Subproblem 1
Set the factor '(5 + 4g)' equal to zero and attempt to solve: Simplifying 5 + 4g = 0 Solving 5 + 4g = 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 + 4g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4g = 0 + -5 4g = 0 + -5 Combine like terms: 0 + -5 = -5 4g = -5 Divide each side by '4'. g = -1.25 Simplifying g = -1.25Subproblem 2
Set the factor '(1 + g)' equal to zero and attempt to solve: Simplifying 1 + g = 0 Solving 1 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + g = 0 + -1 g = 0 + -1 Combine like terms: 0 + -1 = -1 g = -1 Simplifying g = -1Solution
g = {-1.25, -1}
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