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Simplifying (4g + 3)(4g + 3) = 0 Reorder the terms: (3 + 4g)(4g + 3) = 0 Reorder the terms: (3 + 4g)(3 + 4g) = 0 Multiply (3 + 4g) * (3 + 4g) (3(3 + 4g) + 4g * (3 + 4g)) = 0 ((3 * 3 + 4g * 3) + 4g * (3 + 4g)) = 0 ((9 + 12g) + 4g * (3 + 4g)) = 0 (9 + 12g + (3 * 4g + 4g * 4g)) = 0 (9 + 12g + (12g + 16g2)) = 0 Combine like terms: 12g + 12g = 24g (9 + 24g + 16g2) = 0 Solving 9 + 24g + 16g2 = 0 Solving for variable 'g'. Factor a trinomial. (3 + 4g)(3 + 4g) = 0Subproblem 1
Set the factor '(3 + 4g)' equal to zero and attempt to solve: Simplifying 3 + 4g = 0 Solving 3 + 4g = 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 + 4g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4g = 0 + -3 4g = 0 + -3 Combine like terms: 0 + -3 = -3 4g = -3 Divide each side by '4'. g = -0.75 Simplifying g = -0.75Subproblem 2
Set the factor '(3 + 4g)' equal to zero and attempt to solve: Simplifying 3 + 4g = 0 Solving 3 + 4g = 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 + 4g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4g = 0 + -3 4g = 0 + -3 Combine like terms: 0 + -3 = -3 4g = -3 Divide each side by '4'. g = -0.75 Simplifying g = -0.75Solution
g = {-0.75, -0.75}
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