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Simplifying 2tg2x + 3tgx = 0 Reorder the terms: 3gtx + 2g2tx = 0 Solving 3gtx + 2g2tx = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'gtx'. gtx(3 + 2g) = 0Subproblem 1
Set the factor 'gtx' equal to zero and attempt to solve: Simplifying gtx = 0 Solving gtx = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gtx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + 2g)' equal to zero and attempt to solve: Simplifying 3 + 2g = 0 Solving 3 + 2g = 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 + 2g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2g = 0 + -3 2g = 0 + -3 Combine like terms: 0 + -3 = -3 2g = -3 Divide each side by '2'. g = -1.5 Simplifying g = -1.5Solution
g = {-1.5}
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