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Simplifying 2tg2(2x) + 3tg(2x) = 0 Remove parenthesis around (2x) 2g2t * 2x + 3tg(2x) = 0 Reorder the terms for easier multiplication: 2 * 2g2t * x + 3tg(2x) = 0 Multiply 2 * 2 4g2t * x + 3tg(2x) = 0 Multiply g2t * x 4g2tx + 3tg(2x) = 0 Remove parenthesis around (2x) 4g2tx + 3gt * 2x = 0 Reorder the terms for easier multiplication: 4g2tx + 3 * 2gt * x = 0 Multiply 3 * 2 4g2tx + 6gt * x = 0 Multiply gt * x 4g2tx + 6gtx = 0 Reorder the terms: 6gtx + 4g2tx = 0 Solving 6gtx + 4g2tx = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '2gtx'. 2gtx(3 + 2g) = 0 Ignore the factor 2.Subproblem 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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