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Simplifying 5g2 + 12g + 4 = 0 Reorder the terms: 4 + 12g + 5g2 = 0 Solving 4 + 12g + 5g2 = 0 Solving for variable 'g'. Factor a trinomial. (2 + g)(2 + 5g) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(2 + 5g)' equal to zero and attempt to solve: Simplifying 2 + 5g = 0 Solving 2 + 5g = 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 + 5g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5g = 0 + -2 5g = 0 + -2 Combine like terms: 0 + -2 = -2 5g = -2 Divide each side by '5'. g = -0.4 Simplifying g = -0.4Solution
g = {-2, -0.4}
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