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Simplifying 5g2 + 38g + 21 = 0 Reorder the terms: 21 + 38g + 5g2 = 0 Solving 21 + 38g + 5g2 = 0 Solving for variable 'g'. Factor a trinomial. (7 + g)(3 + 5g) = 0Subproblem 1
Set the factor '(7 + g)' equal to zero and attempt to solve: Simplifying 7 + g = 0 Solving 7 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + g = 0 + -7 g = 0 + -7 Combine like terms: 0 + -7 = -7 g = -7 Simplifying g = -7Subproblem 2
Set the factor '(3 + 5g)' equal to zero and attempt to solve: Simplifying 3 + 5g = 0 Solving 3 + 5g = 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 + 5g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5g = 0 + -3 5g = 0 + -3 Combine like terms: 0 + -3 = -3 5g = -3 Divide each side by '5'. g = -0.6 Simplifying g = -0.6Solution
g = {-7, -0.6}
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